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Finding the Fourth Proportional to 56,605.47, 78,116.36 and 31,114.20

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Solution

The fourth proportional to 56,605.47, 78,116.36 and 31,114.20 is: 42,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,605.47 : 78,116.36 = 31,114.20 : x
  2. Step 2: Convert to fraction form
    56,605.47/78,116.36 = 31,114.20/x
  3. Step 3: Cross multiply
    56,605.47x = 78,116.36 × 31,114.20
  4. Step 4: Simplify right side
    56,605.47x = 2,430,527,657.73
  5. Step 5: Solve for x
    x = 2,430,527,657.73/56,605.47
  6. Step 6: Final answer
    x = 42,938.04

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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.