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Finding the Fourth Proportional to 78,948.97, 108,950.34 and 43,138.98

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Solution

The fourth proportional to 78,948.97, 108,950.34 and 43,138.98 is: 59,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,948.97 : 108,950.34 = 43,138.98 : x
  2. Step 2: Convert to fraction form
    78,948.97/108,950.34 = 43,138.98/x
  3. Step 3: Cross multiply
    78,948.97x = 108,950.34 × 43,138.98
  4. Step 4: Simplify right side
    78,948.97x = 4,700,006,538.25
  5. Step 5: Solve for x
    x = 4,700,006,538.25/78,948.97
  6. Step 6: Final answer
    x = 59,532.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.