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Finding the Fourth Proportional to 83,548, 115,296.24 and 45,822.34

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Solution

The fourth proportional to 83,548, 115,296.24 and 45,822.34 is: 63,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,548 : 115,296.24 = 45,822.34 : x
  2. Step 2: Convert to fraction form
    83,548/115,296.24 = 45,822.34/x
  3. Step 3: Cross multiply
    83,548x = 115,296.24 × 45,822.34
  4. Step 4: Simplify right side
    83,548x = 5,283,143,510.00
  5. Step 5: Solve for x
    x = 5,283,143,510.00/83,548
  6. Step 6: Final answer
    x = 63,234.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.