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Finding the Fourth Proportional to 32,637.75, 48,978.49 and 20,959.17

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Solution

The fourth proportional to 32,637.75, 48,978.49 and 20,959.17 is: 31,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,637.75 : 48,978.49 = 20,959.17 : x
  2. Step 2: Convert to fraction form
    32,637.75/48,978.49 = 20,959.17/x
  3. Step 3: Cross multiply
    32,637.75x = 48,978.49 × 20,959.17
  4. Step 4: Simplify right side
    32,637.75x = 1,026,548,498.25
  5. Step 5: Solve for x
    x = 1,026,548,498.25/32,637.75
  6. Step 6: Final answer
    x = 31,452.80

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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.