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Finding the Fourth Proportional to 54,903, 82,117.08 and 32,360.22

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Solution

The fourth proportional to 54,903, 82,117.08 and 32,360.22 is: 48,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,903 : 82,117.08 = 32,360.22 : x
  2. Step 2: Convert to fraction form
    54,903/82,117.08 = 32,360.22/x
  3. Step 3: Cross multiply
    54,903x = 82,117.08 × 32,360.22
  4. Step 4: Simplify right side
    54,903x = 2,657,326,774.56
  5. Step 5: Solve for x
    x = 2,657,326,774.56/54,903
  6. Step 6: Final answer
    x = 48,400.39

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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.