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Finding the Fourth Proportional to 83,176.82, 114,784.31 and 45,451.07

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Solution

The fourth proportional to 83,176.82, 114,784.31 and 45,451.07 is: 62,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,176.82 : 114,784.31 = 45,451.07 : x
  2. Step 2: Convert to fraction form
    83,176.82/114,784.31 = 45,451.07/x
  3. Step 3: Cross multiply
    83,176.82x = 114,784.31 × 45,451.07
  4. Step 4: Simplify right side
    83,176.82x = 5,217,069,708.71
  5. Step 5: Solve for x
    x = 5,217,069,708.71/83,176.82
  6. Step 6: Final answer
    x = 62,722.64

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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.