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Finding the Fourth Proportional to 53,423.60, 80,029.80 and 46,857.20

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Solution

The fourth proportional to 53,423.60, 80,029.80 and 46,857.20 is: 70,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,423.60 : 80,029.80 = 46,857.20 : x
  2. Step 2: Convert to fraction form
    53,423.60/80,029.80 = 46,857.20/x
  3. Step 3: Cross multiply
    53,423.60x = 80,029.80 × 46,857.20
  4. Step 4: Simplify right side
    53,423.60x = 3,749,972,344.56
  5. Step 5: Solve for x
    x = 3,749,972,344.56/53,423.60
  6. Step 6: Final answer
    x = 70,193.18

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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.