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Finding the Fourth Proportional to 76,147.68, 105,073.47 and 44,292

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Solution

The fourth proportional to 76,147.68, 105,073.47 and 44,292 is: 61,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,147.68 : 105,073.47 = 44,292 : x
  2. Step 2: Convert to fraction form
    76,147.68/105,073.47 = 44,292/x
  3. Step 3: Cross multiply
    76,147.68x = 105,073.47 × 44,292
  4. Step 4: Simplify right side
    76,147.68x = 4,653,914,133.24
  5. Step 5: Solve for x
    x = 4,653,914,133.24/76,147.68
  6. Step 6: Final answer
    x = 61,116.95

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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.