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Finding the Fourth Proportional to 98,683.42, 147,968.46 and 38,641.59

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Solution

The fourth proportional to 98,683.42, 147,968.46 and 38,641.59 is: 57,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,683.42 : 147,968.46 = 38,641.59 : x
  2. Step 2: Convert to fraction form
    98,683.42/147,968.46 = 38,641.59/x
  3. Step 3: Cross multiply
    98,683.42x = 147,968.46 × 38,641.59
  4. Step 4: Simplify right side
    98,683.42x = 5,717,737,378.68
  5. Step 5: Solve for x
    x = 5,717,737,378.68/98,683.42
  6. Step 6: Final answer
    x = 57,940.20

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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.