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Finding the Fourth Proportional to 98,627.70, 147,927.56 and 32,068.80

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Solution

The fourth proportional to 98,627.70, 147,927.56 and 32,068.80 is: 48,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,627.70 : 147,927.56 = 32,068.80 : x
  2. Step 2: Convert to fraction form
    98,627.70/147,927.56 = 32,068.80/x
  3. Step 3: Cross multiply
    98,627.70x = 147,927.56 × 32,068.80
  4. Step 4: Simplify right side
    98,627.70x = 4,743,859,336.13
  5. Step 5: Solve for x
    x = 4,743,859,336.13/98,627.70
  6. Step 6: Final answer
    x = 48,098.65

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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.