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Finding the Fourth Proportional to 57,160.80, 85,838.40 and 42,386.40

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Solution

The fourth proportional to 57,160.80, 85,838.40 and 42,386.40 is: 63,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,160.80 : 85,838.40 = 42,386.40 : x
  2. Step 2: Convert to fraction form
    57,160.80/85,838.40 = 42,386.40/x
  3. Step 3: Cross multiply
    57,160.80x = 85,838.40 × 42,386.40
  4. Step 4: Simplify right side
    57,160.80x = 3,638,380,757.76
  5. Step 5: Solve for x
    x = 3,638,380,757.76/57,160.80
  6. Step 6: Final answer
    x = 63,651.68

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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.