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Finding the Fourth Proportional to 54,655.86, 82,009.71 and 32,512.89

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Solution

The fourth proportional to 54,655.86, 82,009.71 and 32,512.89 is: 48,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,655.86 : 82,009.71 = 32,512.89 : x
  2. Step 2: Convert to fraction form
    54,655.86/82,009.71 = 32,512.89/x
  3. Step 3: Cross multiply
    54,655.86x = 82,009.71 × 32,512.89
  4. Step 4: Simplify right side
    54,655.86x = 2,666,372,680.16
  5. Step 5: Solve for x
    x = 2,666,372,680.16/54,655.86
  6. Step 6: Final answer
    x = 48,784.75

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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.