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Finding the Fourth Proportional to 77,302.59, 106,698.56 and 45,481.74

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Solution

The fourth proportional to 77,302.59, 106,698.56 and 45,481.74 is: 62,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,302.59 : 106,698.56 = 45,481.74 : x
  2. Step 2: Convert to fraction form
    77,302.59/106,698.56 = 45,481.74/x
  3. Step 3: Cross multiply
    77,302.59x = 106,698.56 × 45,481.74
  4. Step 4: Simplify right side
    77,302.59x = 4,852,836,164.29
  5. Step 5: Solve for x
    x = 4,852,836,164.29/77,302.59
  6. Step 6: Final answer
    x = 62,777.15

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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.