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Finding the Fourth Proportional to 102,702.10, 154,080.15 and 32,581.30

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Solution

The fourth proportional to 102,702.10, 154,080.15 and 32,581.30 is: 48,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,702.10 : 154,080.15 = 32,581.30 : x
  2. Step 2: Convert to fraction form
    102,702.10/154,080.15 = 32,581.30/x
  3. Step 3: Cross multiply
    102,702.10x = 154,080.15 × 32,581.30
  4. Step 4: Simplify right side
    102,702.10x = 5,020,131,591.20
  5. Step 5: Solve for x
    x = 5,020,131,591.20/102,702.10
  6. Step 6: Final answer
    x = 48,880.52

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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.