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Finding the Fourth Proportional to 77,789.16, 107,346.47 and 45,957.38

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Solution

The fourth proportional to 77,789.16, 107,346.47 and 45,957.38 is: 63,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,789.16 : 107,346.47 = 45,957.38 : x
  2. Step 2: Convert to fraction form
    77,789.16/107,346.47 = 45,957.38/x
  3. Step 3: Cross multiply
    77,789.16x = 107,346.47 × 45,957.38
  4. Step 4: Simplify right side
    77,789.16x = 4,933,361,746.93
  5. Step 5: Solve for x
    x = 4,933,361,746.93/77,789.16
  6. Step 6: Final answer
    x = 63,419.66

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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.