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Finding the Fourth Proportional to 98,608.50, 147,838.91 and 32,008.86

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Solution

The fourth proportional to 98,608.50, 147,838.91 and 32,008.86 is: 47,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,608.50 : 147,838.91 = 32,008.86 : x
  2. Step 2: Convert to fraction form
    98,608.50/147,838.91 = 32,008.86/x
  3. Step 3: Cross multiply
    98,608.50x = 147,838.91 × 32,008.86
  4. Step 4: Simplify right side
    98,608.50x = 4,732,154,812.70
  5. Step 5: Solve for x
    x = 4,732,154,812.70/98,608.50
  6. Step 6: Final answer
    x = 47,989.32

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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.