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Finding the Fourth Proportional to 57,657.64, 86,295.90 and 52,476.52

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Solution

The fourth proportional to 57,657.64, 86,295.90 and 52,476.52 is: 78,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,657.64 : 86,295.90 = 52,476.52 : x
  2. Step 2: Convert to fraction form
    57,657.64/86,295.90 = 52,476.52/x
  3. Step 3: Cross multiply
    57,657.64x = 86,295.90 × 52,476.52
  4. Step 4: Simplify right side
    57,657.64x = 4,528,508,522.27
  5. Step 5: Solve for x
    x = 4,528,508,522.27/57,657.64
  6. Step 6: Final answer
    x = 78,541.34

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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.