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Finding the Fourth Proportional to 98,429.67, 147,668.02 and 31,869.87

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Solution

The fourth proportional to 98,429.67, 147,668.02 and 31,869.87 is: 47,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,429.67 : 147,668.02 = 31,869.87 : x
  2. Step 2: Convert to fraction form
    98,429.67/147,668.02 = 31,869.87/x
  3. Step 3: Cross multiply
    98,429.67x = 147,668.02 × 31,869.87
  4. Step 4: Simplify right side
    98,429.67x = 4,706,160,977.03
  5. Step 5: Solve for x
    x = 4,706,160,977.03/98,429.67
  6. Step 6: Final answer
    x = 47,812.42

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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.