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Finding the Fourth Proportional to 56,266.91, 77,657.87 and 32,407.38

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Solution

The fourth proportional to 56,266.91, 77,657.87 and 32,407.38 is: 44,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,266.91 : 77,657.87 = 32,407.38 : x
  2. Step 2: Convert to fraction form
    56,266.91/77,657.87 = 32,407.38/x
  3. Step 3: Cross multiply
    56,266.91x = 77,657.87 × 32,407.38
  4. Step 4: Simplify right side
    56,266.91x = 2,516,687,941.04
  5. Step 5: Solve for x
    x = 2,516,687,941.04/56,266.91
  6. Step 6: Final answer
    x = 44,727.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.