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Finding the Fourth Proportional to 83,219.56, 124,835.62 and 24,055.68

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Solution

The fourth proportional to 83,219.56, 124,835.62 and 24,055.68 is: 36,085.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,219.56 : 124,835.62 = 24,055.68 : x
  2. Step 2: Convert to fraction form
    83,219.56/124,835.62 = 24,055.68/x
  3. Step 3: Cross multiply
    83,219.56x = 124,835.62 × 24,055.68
  4. Step 4: Simplify right side
    83,219.56x = 3,003,005,043.00
  5. Step 5: Solve for x
    x = 3,003,005,043.00/83,219.56
  6. Step 6: Final answer
    x = 36,085.33

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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.