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Finding the Fourth Proportional to 83,066.46, 114,632.91 and 45,339.90

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Solution

The fourth proportional to 83,066.46, 114,632.91 and 45,339.90 is: 62,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,066.46 : 114,632.91 = 45,339.90 : x
  2. Step 2: Convert to fraction form
    83,066.46/114,632.91 = 45,339.90/x
  3. Step 3: Cross multiply
    83,066.46x = 114,632.91 × 45,339.90
  4. Step 4: Simplify right side
    83,066.46x = 5,197,444,676.11
  5. Step 5: Solve for x
    x = 5,197,444,676.11/83,066.46
  6. Step 6: Final answer
    x = 62,569.71

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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.