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Finding the Fourth Proportional to 102,116.64, 153,174.87 and 32,001.42

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Solution

The fourth proportional to 102,116.64, 153,174.87 and 32,001.42 is: 48,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,116.64 : 153,174.87 = 32,001.42 : x
  2. Step 2: Convert to fraction form
    102,116.64/153,174.87 = 32,001.42/x
  3. Step 3: Cross multiply
    102,116.64x = 153,174.87 × 32,001.42
  4. Step 4: Simplify right side
    102,116.64x = 4,901,813,348.32
  5. Step 5: Solve for x
    x = 4,901,813,348.32/102,116.64
  6. Step 6: Final answer
    x = 48,002.10

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1.5x scale

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.