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Finding the Fourth Proportional to 52,242.72, 72,069.39 and 31,006.95

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Solution

The fourth proportional to 52,242.72, 72,069.39 and 31,006.95 is: 42,774.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,242.72 : 72,069.39 = 31,006.95 : x
  2. Step 2: Convert to fraction form
    52,242.72/72,069.39 = 31,006.95/x
  3. Step 3: Cross multiply
    52,242.72x = 72,069.39 × 31,006.95
  4. Step 4: Simplify right side
    52,242.72x = 2,234,651,972.26
  5. Step 5: Solve for x
    x = 2,234,651,972.26/52,242.72
  6. Step 6: Final answer
    x = 42,774.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.