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Finding the Fourth Proportional to 39,098, 58,656.72 and 11,396

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Solution

The fourth proportional to 39,098, 58,656.72 and 11,396 is: 17,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,098 : 58,656.72 = 11,396 : x
  2. Step 2: Convert to fraction form
    39,098/58,656.72 = 11,396/x
  3. Step 3: Cross multiply
    39,098x = 58,656.72 × 11,396
  4. Step 4: Simplify right side
    39,098x = 668,451,981.12
  5. Step 5: Solve for x
    x = 668,451,981.12/39,098
  6. Step 6: Final answer
    x = 17,096.83

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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.