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Finding the Fourth Proportional to 54,704.50, 75,492.27 and 29,554

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Solution

The fourth proportional to 54,704.50, 75,492.27 and 29,554 is: 40,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,704.50 : 75,492.27 = 29,554 : x
  2. Step 2: Convert to fraction form
    54,704.50/75,492.27 = 29,554/x
  3. Step 3: Cross multiply
    54,704.50x = 75,492.27 × 29,554
  4. Step 4: Simplify right side
    54,704.50x = 2,231,098,547.58
  5. Step 5: Solve for x
    x = 2,231,098,547.58/54,704.50
  6. Step 6: Final answer
    x = 40,784.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.