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Finding the Fourth Proportional to 98,683.71, 147,968.90 and 38,641.89

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Solution

The fourth proportional to 98,683.71, 147,968.90 and 38,641.89 is: 57,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,683.71 : 147,968.90 = 38,641.89 : x
  2. Step 2: Convert to fraction form
    98,683.71/147,968.90 = 38,641.89/x
  3. Step 3: Cross multiply
    98,683.71x = 147,968.90 × 38,641.89
  4. Step 4: Simplify right side
    98,683.71x = 5,717,797,160.97
  5. Step 5: Solve for x
    x = 5,717,797,160.97/98,683.71
  6. Step 6: Final answer
    x = 57,940.64

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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.