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Finding the Fourth Proportional to 76,107.38, 105,033.46 and 42,117.30

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Solution

The fourth proportional to 76,107.38, 105,033.46 and 42,117.30 is: 58,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,107.38 : 105,033.46 = 42,117.30 : x
  2. Step 2: Convert to fraction form
    76,107.38/105,033.46 = 42,117.30/x
  3. Step 3: Cross multiply
    76,107.38x = 105,033.46 × 42,117.30
  4. Step 4: Simplify right side
    76,107.38x = 4,423,725,718.53
  5. Step 5: Solve for x
    x = 4,423,725,718.53/76,107.38
  6. Step 6: Final answer
    x = 58,124.79

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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.