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Finding the Fourth Proportional to 82,924.16, 124,287.82 and 47,791.22

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Solution

The fourth proportional to 82,924.16, 124,287.82 and 47,791.22 is: 71,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,924.16 : 124,287.82 = 47,791.22 : x
  2. Step 2: Convert to fraction form
    82,924.16/124,287.82 = 47,791.22/x
  3. Step 3: Cross multiply
    82,924.16x = 124,287.82 × 47,791.22
  4. Step 4: Simplify right side
    82,924.16x = 5,939,865,808.02
  5. Step 5: Solve for x
    x = 5,939,865,808.02/82,924.16
  6. Step 6: Final answer
    x = 71,630.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.