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Finding the Fourth Proportional to 98,519.76, 147,801.24 and 31,966.62

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Solution

The fourth proportional to 98,519.76, 147,801.24 and 31,966.62 is: 47,956.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,519.76 : 147,801.24 = 31,966.62 : x
  2. Step 2: Convert to fraction form
    98,519.76/147,801.24 = 31,966.62/x
  3. Step 3: Cross multiply
    98,519.76x = 147,801.24 × 31,966.62
  4. Step 4: Simplify right side
    98,519.76x = 4,724,706,074.61
  5. Step 5: Solve for x
    x = 4,724,706,074.61/98,519.76
  6. Step 6: Final answer
    x = 47,956.94

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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.