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Finding the Fourth Proportional to 55,652.96, 83,435.52 and 27,582.68

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Solution

The fourth proportional to 55,652.96, 83,435.52 and 27,582.68 is: 41,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,652.96 : 83,435.52 = 27,582.68 : x
  2. Step 2: Convert to fraction form
    55,652.96/83,435.52 = 27,582.68/x
  3. Step 3: Cross multiply
    55,652.96x = 83,435.52 × 27,582.68
  4. Step 4: Simplify right side
    55,652.96x = 2,301,375,248.79
  5. Step 5: Solve for x
    x = 2,301,375,248.79/55,652.96
  6. Step 6: Final answer
    x = 41,352.25

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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.