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Finding the Fourth Proportional to 53,657,409.70, 80,486,114.55 and 49,512,169.90

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Solution

The fourth proportional to 53,657,409.70, 80,486,114.55 and 49,512,169.90 is: 74,268,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,657,409.70 : 80,486,114.55 = 49,512,169.90 : x
  2. Step 2: Convert to fraction form
    53,657,409.70/80,486,114.55 = 49,512,169.90/x
  3. Step 3: Cross multiply
    53,657,409.70x = 80,486,114.55 × 49,512,169.90
  4. Step 4: Simplify right side
    53,657,409.70x = 3,985,042,178,190,462
  5. Step 5: Solve for x
    x = 3,985,042,178,190,462/53,657,409.70
  6. Step 6: Final answer
    x = 74,268,254.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.