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Finding the Fourth Proportional to 123,694.33, 185,553.65 and 34,948.53

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Solution

The fourth proportional to 123,694.33, 185,553.65 and 34,948.53 is: 52,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,694.33 : 185,553.65 = 34,948.53 : x
  2. Step 2: Convert to fraction form
    123,694.33/185,553.65 = 34,948.53/x
  3. Step 3: Cross multiply
    123,694.33x = 185,553.65 × 34,948.53
  4. Step 4: Simplify right side
    123,694.33x = 6,484,827,303.63
  5. Step 5: Solve for x
    x = 6,484,827,303.63/123,694.33
  6. Step 6: Final answer
    x = 52,426.23

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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.