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Finding the Fourth Proportional to 42,162.69, 63,238.55 and 19,990.16

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Solution

The fourth proportional to 42,162.69, 63,238.55 and 19,990.16 is: 29,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,162.69 : 63,238.55 = 19,990.16 : x
  2. Step 2: Convert to fraction form
    42,162.69/63,238.55 = 19,990.16/x
  3. Step 3: Cross multiply
    42,162.69x = 63,238.55 × 19,990.16
  4. Step 4: Simplify right side
    42,162.69x = 1,264,148,545.50
  5. Step 5: Solve for x
    x = 1,264,148,545.50/42,162.69
  6. Step 6: Final answer
    x = 29,982.63

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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.