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Finding the Fourth Proportional to 78,358.74, 117,537.88 and 28,438.78

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Solution

The fourth proportional to 78,358.74, 117,537.88 and 28,438.78 is: 42,658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,358.74 : 117,537.88 = 28,438.78 : x
  2. Step 2: Convert to fraction form
    78,358.74/117,537.88 = 28,438.78/x
  3. Step 3: Cross multiply
    78,358.74x = 117,537.88 × 28,438.78
  4. Step 4: Simplify right side
    78,358.74x = 3,342,633,910.99
  5. Step 5: Solve for x
    x = 3,342,633,910.99/78,358.74
  6. Step 6: Final answer
    x = 42,658.09

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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.