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Finding the Fourth Proportional to 56,705.70, 78,253.25 and 31,211.52

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Solution

The fourth proportional to 56,705.70, 78,253.25 and 31,211.52 is: 43,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,705.70 : 78,253.25 = 31,211.52 : x
  2. Step 2: Convert to fraction form
    56,705.70/78,253.25 = 31,211.52/x
  3. Step 3: Cross multiply
    56,705.70x = 78,253.25 × 31,211.52
  4. Step 4: Simplify right side
    56,705.70x = 2,442,402,721.38
  5. Step 5: Solve for x
    x = 2,442,402,721.38/56,705.70
  6. Step 6: Final answer
    x = 43,071.56

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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.