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Finding the Fourth Proportional to 53,812.70, 80,719.05 and 42,135.90

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Solution

The fourth proportional to 53,812.70, 80,719.05 and 42,135.90 is: 63,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,812.70 : 80,719.05 = 42,135.90 : x
  2. Step 2: Convert to fraction form
    53,812.70/80,719.05 = 42,135.90/x
  3. Step 3: Cross multiply
    53,812.70x = 80,719.05 × 42,135.90
  4. Step 4: Simplify right side
    53,812.70x = 3,401,169,818.90
  5. Step 5: Solve for x
    x = 3,401,169,818.90/53,812.70
  6. Step 6: Final answer
    x = 63,203.85

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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.