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Finding the Fourth Proportional to 54,652.86, 82,005.21 and 32,509.89

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Solution

The fourth proportional to 54,652.86, 82,005.21 and 32,509.89 is: 48,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,652.86 : 82,005.21 = 32,509.89 : x
  2. Step 2: Convert to fraction form
    54,652.86/82,005.21 = 32,509.89/x
  3. Step 3: Cross multiply
    54,652.86x = 82,005.21 × 32,509.89
  4. Step 4: Simplify right side
    54,652.86x = 2,665,980,356.53
  5. Step 5: Solve for x
    x = 2,665,980,356.53/54,652.86
  6. Step 6: Final answer
    x = 48,780.25

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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.