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Finding the Fourth Proportional to 74,862.83, 112,318.95 and 35,414.82

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Solution

The fourth proportional to 74,862.83, 112,318.95 and 35,414.82 is: 53,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,862.83 : 112,318.95 = 35,414.82 : x
  2. Step 2: Convert to fraction form
    74,862.83/112,318.95 = 35,414.82/x
  3. Step 3: Cross multiply
    74,862.83x = 112,318.95 × 35,414.82
  4. Step 4: Simplify right side
    74,862.83x = 3,977,755,529.64
  5. Step 5: Solve for x
    x = 3,977,755,529.64/74,862.83
  6. Step 6: Final answer
    x = 53,133.92

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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.