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Finding the Fourth Proportional to 106,827.70, 147,417.78 and 58,428.85

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Solution

The fourth proportional to 106,827.70, 147,417.78 and 58,428.85 is: 80,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,827.70 : 147,417.78 = 58,428.85 : x
  2. Step 2: Convert to fraction form
    106,827.70/147,417.78 = 58,428.85/x
  3. Step 3: Cross multiply
    106,827.70x = 147,417.78 × 58,428.85
  4. Step 4: Simplify right side
    106,827.70x = 8,613,451,354.95
  5. Step 5: Solve for x
    x = 8,613,451,354.95/106,827.70
  6. Step 6: Final answer
    x = 80,629.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.