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Finding the Fourth Proportional to 56,105.71, 77,428.84 and 32,233.93

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Solution

The fourth proportional to 56,105.71, 77,428.84 and 32,233.93 is: 44,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,105.71 : 77,428.84 = 32,233.93 : x
  2. Step 2: Convert to fraction form
    56,105.71/77,428.84 = 32,233.93/x
  3. Step 3: Cross multiply
    56,105.71x = 77,428.84 × 32,233.93
  4. Step 4: Simplify right side
    56,105.71x = 2,495,835,534.38
  5. Step 5: Solve for x
    x = 2,495,835,534.38/56,105.71
  6. Step 6: Final answer
    x = 44,484.52

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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.