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Finding the Fourth Proportional to 82,953.60, 124,446.60 and 33,025.20

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Solution

The fourth proportional to 82,953.60, 124,446.60 and 33,025.20 is: 49,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,953.60 : 124,446.60 = 33,025.20 : x
  2. Step 2: Convert to fraction form
    82,953.60/124,446.60 = 33,025.20/x
  3. Step 3: Cross multiply
    82,953.60x = 124,446.60 × 33,025.20
  4. Step 4: Simplify right side
    82,953.60x = 4,109,873,854.32
  5. Step 5: Solve for x
    x = 4,109,873,854.32/82,953.60
  6. Step 6: Final answer
    x = 49,544.25

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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.