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Finding the Fourth Proportional to 42,034.68, 63,046.08 and 12,444.84

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Solution

The fourth proportional to 42,034.68, 63,046.08 and 12,444.84 is: 18,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,034.68 : 63,046.08 = 12,444.84 : x
  2. Step 2: Convert to fraction form
    42,034.68/63,046.08 = 12,444.84/x
  3. Step 3: Cross multiply
    42,034.68x = 63,046.08 × 12,444.84
  4. Step 4: Simplify right side
    42,034.68x = 784,598,378.23
  5. Step 5: Solve for x
    x = 784,598,378.23/42,034.68
  6. Step 6: Final answer
    x = 18,665.50

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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.