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Finding the Fourth Proportional to 52,291.47, 78,439.05 and 16,748.17

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Solution

The fourth proportional to 52,291.47, 78,439.05 and 16,748.17 is: 25,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,291.47 : 78,439.05 = 16,748.17 : x
  2. Step 2: Convert to fraction form
    52,291.47/78,439.05 = 16,748.17/x
  3. Step 3: Cross multiply
    52,291.47x = 78,439.05 × 16,748.17
  4. Step 4: Simplify right side
    52,291.47x = 1,313,710,544.04
  5. Step 5: Solve for x
    x = 1,313,710,544.04/52,291.47
  6. Step 6: Final answer
    x = 25,122.85

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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.