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Finding the Fourth Proportional to 76,708.47, 105,832.31 and 44,854.81

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Solution

The fourth proportional to 76,708.47, 105,832.31 and 44,854.81 is: 61,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,708.47 : 105,832.31 = 44,854.81 : x
  2. Step 2: Convert to fraction form
    76,708.47/105,832.31 = 44,854.81/x
  3. Step 3: Cross multiply
    76,708.47x = 105,832.31 × 44,854.81
  4. Step 4: Simplify right side
    76,708.47x = 4,747,088,156.91
  5. Step 5: Solve for x
    x = 4,747,088,156.91/76,708.47
  6. Step 6: Final answer
    x = 61,884.80

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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.