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Finding the Fourth Proportional to 83,019.72, 124,538.49 and 23,048.46

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Solution

The fourth proportional to 83,019.72, 124,538.49 and 23,048.46 is: 34,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,019.72 : 124,538.49 = 23,048.46 : x
  2. Step 2: Convert to fraction form
    83,019.72/124,538.49 = 23,048.46/x
  3. Step 3: Cross multiply
    83,019.72x = 124,538.49 × 23,048.46
  4. Step 4: Simplify right side
    83,019.72x = 2,870,420,405.23
  5. Step 5: Solve for x
    x = 2,870,420,405.23/83,019.72
  6. Step 6: Final answer
    x = 34,575.16

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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.