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Finding the Fourth Proportional to 56,129.40, 77,463.18 and 32,259.96

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Solution

The fourth proportional to 56,129.40, 77,463.18 and 32,259.96 is: 44,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,129.40 : 77,463.18 = 32,259.96 : x
  2. Step 2: Convert to fraction form
    56,129.40/77,463.18 = 32,259.96/x
  3. Step 3: Cross multiply
    56,129.40x = 77,463.18 × 32,259.96
  4. Step 4: Simplify right side
    56,129.40x = 2,498,959,088.27
  5. Step 5: Solve for x
    x = 2,498,959,088.27/56,129.40
  6. Step 6: Final answer
    x = 44,521.39

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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.