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Finding the Fourth Proportional to 57,042.72, 85,482.96 and 27,024.96

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Solution

The fourth proportional to 57,042.72, 85,482.96 and 27,024.96 is: 40,499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,042.72 : 85,482.96 = 27,024.96 : x
  2. Step 2: Convert to fraction form
    57,042.72/85,482.96 = 27,024.96/x
  3. Step 3: Cross multiply
    57,042.72x = 85,482.96 × 27,024.96
  4. Step 4: Simplify right side
    57,042.72x = 2,310,173,574.68
  5. Step 5: Solve for x
    x = 2,310,173,574.68/57,042.72
  6. Step 6: Final answer
    x = 40,499.01

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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.