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Finding the Fourth Proportional to 45,097.56, 62,236.36 and 24,681

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Solution

The fourth proportional to 45,097.56, 62,236.36 and 24,681 is: 34,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,097.56 : 62,236.36 = 24,681 : x
  2. Step 2: Convert to fraction form
    45,097.56/62,236.36 = 24,681/x
  3. Step 3: Cross multiply
    45,097.56x = 62,236.36 × 24,681
  4. Step 4: Simplify right side
    45,097.56x = 1,536,055,601.16
  5. Step 5: Solve for x
    x = 1,536,055,601.16/45,097.56
  6. Step 6: Final answer
    x = 34,060.73

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Why These Related Problems?

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