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Finding the Fourth Proportional to 52,339.50, 78,508.98 and 29,015.28

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Solution

The fourth proportional to 52,339.50, 78,508.98 and 29,015.28 is: 43,522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,339.50 : 78,508.98 = 29,015.28 : x
  2. Step 2: Convert to fraction form
    52,339.50/78,508.98 = 29,015.28/x
  3. Step 3: Cross multiply
    52,339.50x = 78,508.98 × 29,015.28
  4. Step 4: Simplify right side
    52,339.50x = 2,277,960,037.21
  5. Step 5: Solve for x
    x = 2,277,960,037.21/52,339.50
  6. Step 6: Final answer
    x = 43,522.77

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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.