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Finding the Fourth Proportional to 82,765.60, 124,180.80 and 32,837.20

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Solution

The fourth proportional to 82,765.60, 124,180.80 and 32,837.20 is: 49,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765.60 : 124,180.80 = 32,837.20 : x
  2. Step 2: Convert to fraction form
    82,765.60/124,180.80 = 32,837.20/x
  3. Step 3: Cross multiply
    82,765.60x = 124,180.80 × 32,837.20
  4. Step 4: Simplify right side
    82,765.60x = 4,077,749,765.76
  5. Step 5: Solve for x
    x = 4,077,749,765.76/82,765.60
  6. Step 6: Final answer
    x = 49,268.65

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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.