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Finding the Fourth Proportional to 42,002.82, 63,002.17 and 15,705.51

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Solution

The fourth proportional to 42,002.82, 63,002.17 and 15,705.51 is: 23,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,002.82 : 63,002.17 = 15,705.51 : x
  2. Step 2: Convert to fraction form
    42,002.82/63,002.17 = 15,705.51/x
  3. Step 3: Cross multiply
    42,002.82x = 63,002.17 × 15,705.51
  4. Step 4: Simplify right side
    42,002.82x = 989,481,210.96
  5. Step 5: Solve for x
    x = 989,481,210.96/42,002.82
  6. Step 6: Final answer
    x = 23,557.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.