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Finding the Fourth Proportional to 82,066.96, 123,042.12 and 42,098

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Solution

The fourth proportional to 82,066.96, 123,042.12 and 42,098 is: 63,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,066.96 : 123,042.12 = 42,098 : x
  2. Step 2: Convert to fraction form
    82,066.96/123,042.12 = 42,098/x
  3. Step 3: Cross multiply
    82,066.96x = 123,042.12 × 42,098
  4. Step 4: Simplify right side
    82,066.96x = 5,179,827,167.76
  5. Step 5: Solve for x
    x = 5,179,827,167.76/82,066.96
  6. Step 6: Final answer
    x = 63,117.08

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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.