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Finding the Fourth Proportional to 83,042, 124,570.02 and 26,128.96

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Solution

The fourth proportional to 83,042, 124,570.02 and 26,128.96 is: 39,195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,042 : 124,570.02 = 26,128.96 : x
  2. Step 2: Convert to fraction form
    83,042/124,570.02 = 26,128.96/x
  3. Step 3: Cross multiply
    83,042x = 124,570.02 × 26,128.96
  4. Step 4: Simplify right side
    83,042x = 3,254,885,069.78
  5. Step 5: Solve for x
    x = 3,254,885,069.78/83,042
  6. Step 6: Final answer
    x = 39,195.65

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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.