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Finding the Fourth Proportional to 103,874.79, 155,689.14 and 47,667.52

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Solution

The fourth proportional to 103,874.79, 155,689.14 and 47,667.52 is: 71,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,874.79 : 155,689.14 = 47,667.52 : x
  2. Step 2: Convert to fraction form
    103,874.79/155,689.14 = 47,667.52/x
  3. Step 3: Cross multiply
    103,874.79x = 155,689.14 × 47,667.52
  4. Step 4: Simplify right side
    103,874.79x = 7,421,315,194.73
  5. Step 5: Solve for x
    x = 7,421,315,194.73/103,874.79
  6. Step 6: Final answer
    x = 71,444.82

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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.