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Finding the Fourth Proportional to 102,164.10, 153,246.15 and 32,043.30

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Solution

The fourth proportional to 102,164.10, 153,246.15 and 32,043.30 is: 48,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,164.10 : 153,246.15 = 32,043.30 : x
  2. Step 2: Convert to fraction form
    102,164.10/153,246.15 = 32,043.30/x
  3. Step 3: Cross multiply
    102,164.10x = 153,246.15 × 32,043.30
  4. Step 4: Simplify right side
    102,164.10x = 4,910,512,358.30
  5. Step 5: Solve for x
    x = 4,910,512,358.30/102,164.10
  6. Step 6: Final answer
    x = 48,064.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.