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Finding the Fourth Proportional to 52,235.76, 78,337.02 and 17,167.32

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Solution

The fourth proportional to 52,235.76, 78,337.02 and 17,167.32 is: 25,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,235.76 : 78,337.02 = 17,167.32 : x
  2. Step 2: Convert to fraction form
    52,235.76/78,337.02 = 17,167.32/x
  3. Step 3: Cross multiply
    52,235.76x = 78,337.02 × 17,167.32
  4. Step 4: Simplify right side
    52,235.76x = 1,344,836,690.19
  5. Step 5: Solve for x
    x = 1,344,836,690.19/52,235.76
  6. Step 6: Final answer
    x = 25,745.52

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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.