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Finding the Fourth Proportional to 105,758.88, 145,947.51 and 58,012.62

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Solution

The fourth proportional to 105,758.88, 145,947.51 and 58,012.62 is: 80,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,758.88 : 145,947.51 = 58,012.62 : x
  2. Step 2: Convert to fraction form
    105,758.88/145,947.51 = 58,012.62/x
  3. Step 3: Cross multiply
    105,758.88x = 145,947.51 × 58,012.62
  4. Step 4: Simplify right side
    105,758.88x = 8,466,797,437.58
  5. Step 5: Solve for x
    x = 8,466,797,437.58/105,758.88
  6. Step 6: Final answer
    x = 80,057.56

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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.