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Finding the Fourth Proportional to 123,483.29, 185,203.41 and 34,715.70

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Solution

The fourth proportional to 123,483.29, 185,203.41 and 34,715.70 is: 52,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,483.29 : 185,203.41 = 34,715.70 : x
  2. Step 2: Convert to fraction form
    123,483.29/185,203.41 = 34,715.70/x
  3. Step 3: Cross multiply
    123,483.29x = 185,203.41 × 34,715.70
  4. Step 4: Simplify right side
    123,483.29x = 6,429,466,020.54
  5. Step 5: Solve for x
    x = 6,429,466,020.54/123,483.29
  6. Step 6: Final answer
    x = 52,067.50

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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.