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Finding the Fourth Proportional to 54,851.60, 82,309.80 and 40,023.20

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Solution

The fourth proportional to 54,851.60, 82,309.80 and 40,023.20 is: 60,058.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,851.60 : 82,309.80 = 40,023.20 : x
  2. Step 2: Convert to fraction form
    54,851.60/82,309.80 = 40,023.20/x
  3. Step 3: Cross multiply
    54,851.60x = 82,309.80 × 40,023.20
  4. Step 4: Simplify right side
    54,851.60x = 3,294,301,587.36
  5. Step 5: Solve for x
    x = 3,294,301,587.36/54,851.60
  6. Step 6: Final answer
    x = 60,058.44

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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.