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Finding the Fourth Proportional to 83,055.76, 114,616.14 and 45,330

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Solution

The fourth proportional to 83,055.76, 114,616.14 and 45,330 is: 62,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,055.76 : 114,616.14 = 45,330 : x
  2. Step 2: Convert to fraction form
    83,055.76/114,616.14 = 45,330/x
  3. Step 3: Cross multiply
    83,055.76x = 114,616.14 × 45,330
  4. Step 4: Simplify right side
    83,055.76x = 5,195,549,626.20
  5. Step 5: Solve for x
    x = 5,195,549,626.20/83,055.76
  6. Step 6: Final answer
    x = 62,554.96

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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.