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Finding the Fourth Proportional to 83,074.92, 114,643.64 and 45,349.80

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Solution

The fourth proportional to 83,074.92, 114,643.64 and 45,349.80 is: 62,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074.92 : 114,643.64 = 45,349.80 : x
  2. Step 2: Convert to fraction form
    83,074.92/114,643.64 = 45,349.80/x
  3. Step 3: Cross multiply
    83,074.92x = 114,643.64 × 45,349.80
  4. Step 4: Simplify right side
    83,074.92x = 5,199,066,145.27
  5. Step 5: Solve for x
    x = 5,199,066,145.27/83,074.92
  6. Step 6: Final answer
    x = 62,582.86

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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.