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Finding the Fourth Proportional to 82,080, 113,270.67 and 44,354.52

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Solution

The fourth proportional to 82,080, 113,270.67 and 44,354.52 is: 61,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,080 : 113,270.67 = 44,354.52 : x
  2. Step 2: Convert to fraction form
    82,080/113,270.67 = 44,354.52/x
  3. Step 3: Cross multiply
    82,080x = 113,270.67 × 44,354.52
  4. Step 4: Simplify right side
    82,080x = 5,024,066,197.93
  5. Step 5: Solve for x
    x = 5,024,066,197.93/82,080
  6. Step 6: Final answer
    x = 61,209.38

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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.