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Finding the Fourth Proportional to 123,712.29, 185,569.48 and 34,963.81

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Solution

The fourth proportional to 123,712.29, 185,569.48 and 34,963.81 is: 52,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,712.29 : 185,569.48 = 34,963.81 : x
  2. Step 2: Convert to fraction form
    123,712.29/185,569.48 = 34,963.81/x
  3. Step 3: Cross multiply
    123,712.29x = 185,569.48 × 34,963.81
  4. Step 4: Simplify right side
    123,712.29x = 6,488,216,040.52
  5. Step 5: Solve for x
    x = 6,488,216,040.52/123,712.29
  6. Step 6: Final answer
    x = 52,446.01

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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.