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Finding the Fourth Proportional to 55,983.80, 83,802.90 and 32,540.60

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Solution

The fourth proportional to 55,983.80, 83,802.90 and 32,540.60 is: 48,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,983.80 : 83,802.90 = 32,540.60 : x
  2. Step 2: Convert to fraction form
    55,983.80/83,802.90 = 32,540.60/x
  3. Step 3: Cross multiply
    55,983.80x = 83,802.90 × 32,540.60
  4. Step 4: Simplify right side
    55,983.80x = 2,726,996,647.74
  5. Step 5: Solve for x
    x = 2,726,996,647.74/55,983.80
  6. Step 6: Final answer
    x = 48,710.46

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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.