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Finding the Fourth Proportional to 98,445.69, 147,683.03 and 31,863.69

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Solution

The fourth proportional to 98,445.69, 147,683.03 and 31,863.69 is: 47,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,445.69 : 147,683.03 = 31,863.69 : x
  2. Step 2: Convert to fraction form
    98,445.69/147,683.03 = 31,863.69/x
  3. Step 3: Cross multiply
    98,445.69x = 147,683.03 × 31,863.69
  4. Step 4: Simplify right side
    98,445.69x = 4,705,726,126.86
  5. Step 5: Solve for x
    x = 4,705,726,126.86/98,445.69
  6. Step 6: Final answer
    x = 47,800.22

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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.