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Finding the Fourth Proportional to 56,802.38, 78,387.83 and 31,309.73

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Solution

The fourth proportional to 56,802.38, 78,387.83 and 31,309.73 is: 43,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,802.38 : 78,387.83 = 31,309.73 : x
  2. Step 2: Convert to fraction form
    56,802.38/78,387.83 = 31,309.73/x
  3. Step 3: Cross multiply
    56,802.38x = 78,387.83 × 31,309.73
  4. Step 4: Simplify right side
    56,802.38x = 2,454,301,244.10
  5. Step 5: Solve for x
    x = 2,454,301,244.10/56,802.38
  6. Step 6: Final answer
    x = 43,207.72

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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.