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Finding the Fourth Proportional to 52,225.14, 78,339.54 and 17,167.50

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Solution

The fourth proportional to 52,225.14, 78,339.54 and 17,167.50 is: 25,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,225.14 : 78,339.54 = 17,167.50 : x
  2. Step 2: Convert to fraction form
    52,225.14/78,339.54 = 17,167.50/x
  3. Step 3: Cross multiply
    52,225.14x = 78,339.54 × 17,167.50
  4. Step 4: Simplify right side
    52,225.14x = 1,344,894,052.95
  5. Step 5: Solve for x
    x = 1,344,894,052.95/52,225.14
  6. Step 6: Final answer
    x = 25,751.85

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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.