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Finding the Fourth Proportional to 52,372.40, 78,578.04 and 24,306.32

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Solution

The fourth proportional to 52,372.40, 78,578.04 and 24,306.32 is: 36,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,372.40 : 78,578.04 = 24,306.32 : x
  2. Step 2: Convert to fraction form
    52,372.40/78,578.04 = 24,306.32/x
  3. Step 3: Cross multiply
    52,372.40x = 78,578.04 × 24,306.32
  4. Step 4: Simplify right side
    52,372.40x = 1,909,942,985.21
  5. Step 5: Solve for x
    x = 1,909,942,985.21/52,372.40
  6. Step 6: Final answer
    x = 36,468.50

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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.