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Finding the Fourth Proportional to 123,921.68, 185,754.62 and 49,011.46

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Solution

The fourth proportional to 123,921.68, 185,754.62 and 49,011.46 is: 73,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,921.68 : 185,754.62 = 49,011.46 : x
  2. Step 2: Convert to fraction form
    123,921.68/185,754.62 = 49,011.46/x
  3. Step 3: Cross multiply
    123,921.68x = 185,754.62 × 49,011.46
  4. Step 4: Simplify right side
    123,921.68x = 9,104,105,127.95
  5. Step 5: Solve for x
    x = 9,104,105,127.95/123,921.68
  6. Step 6: Final answer
    x = 73,466.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.