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Finding the Fourth Proportional to 52,107.33, 78,159.17 and 22,102.30

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Solution

The fourth proportional to 52,107.33, 78,159.17 and 22,102.30 is: 33,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,107.33 : 78,159.17 = 22,102.30 : x
  2. Step 2: Convert to fraction form
    52,107.33/78,159.17 = 22,102.30/x
  3. Step 3: Cross multiply
    52,107.33x = 78,159.17 × 22,102.30
  4. Step 4: Simplify right side
    52,107.33x = 1,727,497,423.09
  5. Step 5: Solve for x
    x = 1,727,497,423.09/52,107.33
  6. Step 6: Final answer
    x = 33,152.68

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