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Finding the Fourth Proportional to 54,100, 81,149.01 and 24,482.53

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Solution

The fourth proportional to 54,100, 81,149.01 and 24,482.53 is: 36,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,100 : 81,149.01 = 24,482.53 : x
  2. Step 2: Convert to fraction form
    54,100/81,149.01 = 24,482.53/x
  3. Step 3: Cross multiply
    54,100x = 81,149.01 × 24,482.53
  4. Step 4: Simplify right side
    54,100x = 1,986,733,071.80
  5. Step 5: Solve for x
    x = 1,986,733,071.80/54,100
  6. Step 6: Final answer
    x = 36,723.35

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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.