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Finding the Fourth Proportional to 52,322.30, 78,481.71 and 22,740.17

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Solution

The fourth proportional to 52,322.30, 78,481.71 and 22,740.17 is: 34,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,322.30 : 78,481.71 = 22,740.17 : x
  2. Step 2: Convert to fraction form
    52,322.30/78,481.71 = 22,740.17/x
  3. Step 3: Cross multiply
    52,322.30x = 78,481.71 × 22,740.17
  4. Step 4: Simplify right side
    52,322.30x = 1,784,687,427.29
  5. Step 5: Solve for x
    x = 1,784,687,427.29/52,322.30
  6. Step 6: Final answer
    x = 34,109.50

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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.