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Finding the Fourth Proportional to 42,003.84, 63,019.13 and 12,421.83

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Solution

The fourth proportional to 42,003.84, 63,019.13 and 12,421.83 is: 18,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,003.84 : 63,019.13 = 12,421.83 : x
  2. Step 2: Convert to fraction form
    42,003.84/63,019.13 = 12,421.83/x
  3. Step 3: Cross multiply
    42,003.84x = 63,019.13 × 12,421.83
  4. Step 4: Simplify right side
    42,003.84x = 782,812,857.50
  5. Step 5: Solve for x
    x = 782,812,857.50/42,003.84
  6. Step 6: Final answer
    x = 18,636.70

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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.