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Finding the Fourth Proportional to 54,002.72, 74,523.84 and 29,803.12

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Solution

The fourth proportional to 54,002.72, 74,523.84 and 29,803.12 is: 41,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,002.72 : 74,523.84 = 29,803.12 : x
  2. Step 2: Convert to fraction form
    54,002.72/74,523.84 = 29,803.12/x
  3. Step 3: Cross multiply
    54,002.72x = 74,523.84 × 29,803.12
  4. Step 4: Simplify right side
    54,002.72x = 2,221,042,946.38
  5. Step 5: Solve for x
    x = 2,221,042,946.38/54,002.72
  6. Step 6: Final answer
    x = 41,128.35

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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.