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Finding the Fourth Proportional to 71,312.17, 106,985.14 and 23,280.53

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Solution

The fourth proportional to 71,312.17, 106,985.14 and 23,280.53 is: 34,926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,312.17 : 106,985.14 = 23,280.53 : x
  2. Step 2: Convert to fraction form
    71,312.17/106,985.14 = 23,280.53/x
  3. Step 3: Cross multiply
    71,312.17x = 106,985.14 × 23,280.53
  4. Step 4: Simplify right side
    71,312.17x = 2,490,670,761.32
  5. Step 5: Solve for x
    x = 2,490,670,761.32/71,312.17
  6. Step 6: Final answer
    x = 34,926.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.