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Finding the Fourth Proportional to 42,019.84, 63,029.76 and 24,489.60

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Solution

The fourth proportional to 42,019.84, 63,029.76 and 24,489.60 is: 36,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,019.84 : 63,029.76 = 24,489.60 : x
  2. Step 2: Convert to fraction form
    42,019.84/63,029.76 = 24,489.60/x
  3. Step 3: Cross multiply
    42,019.84x = 63,029.76 × 24,489.60
  4. Step 4: Simplify right side
    42,019.84x = 1,543,573,610.50
  5. Step 5: Solve for x
    x = 1,543,573,610.50/42,019.84
  6. Step 6: Final answer
    x = 36,734.40

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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.