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Finding the Fourth Proportional to 98,585.10, 147,914.10 and 32,027.40

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Solution

The fourth proportional to 98,585.10, 147,914.10 and 32,027.40 is: 48,052.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,585.10 : 147,914.10 = 32,027.40 : x
  2. Step 2: Convert to fraction form
    98,585.10/147,914.10 = 32,027.40/x
  3. Step 3: Cross multiply
    98,585.10x = 147,914.10 × 32,027.40
  4. Step 4: Simplify right side
    98,585.10x = 4,737,304,046.34
  5. Step 5: Solve for x
    x = 4,737,304,046.34/98,585.10
  6. Step 6: Final answer
    x = 48,052.94

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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.