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Finding the Fourth Proportional to 102,460.46, 153,685.11 and 39,310.88

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Solution

The fourth proportional to 102,460.46, 153,685.11 and 39,310.88 is: 58,964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,460.46 : 153,685.11 = 39,310.88 : x
  2. Step 2: Convert to fraction form
    102,460.46/153,685.11 = 39,310.88/x
  3. Step 3: Cross multiply
    102,460.46x = 153,685.11 × 39,310.88
  4. Step 4: Simplify right side
    102,460.46x = 6,041,496,917.00
  5. Step 5: Solve for x
    x = 6,041,496,917.00/102,460.46
  6. Step 6: Final answer
    x = 58,964.18

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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.