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Finding the Fourth Proportional to 95,037.84, 142,508.52 and 31,835.52

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Solution

The fourth proportional to 95,037.84, 142,508.52 and 31,835.52 is: 47,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,037.84 : 142,508.52 = 31,835.52 : x
  2. Step 2: Convert to fraction form
    95,037.84/142,508.52 = 31,835.52/x
  3. Step 3: Cross multiply
    95,037.84x = 142,508.52 × 31,835.52
  4. Step 4: Simplify right side
    95,037.84x = 4,536,832,838.63
  5. Step 5: Solve for x
    x = 4,536,832,838.63/95,037.84
  6. Step 6: Final answer
    x = 47,737.12

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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.