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Finding the Fourth Proportional to 47,697.78, 65,818.08 and 27,561.12

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Solution

The fourth proportional to 47,697.78, 65,818.08 and 27,561.12 is: 38,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,697.78 : 65,818.08 = 27,561.12 : x
  2. Step 2: Convert to fraction form
    47,697.78/65,818.08 = 27,561.12/x
  3. Step 3: Cross multiply
    47,697.78x = 65,818.08 × 27,561.12
  4. Step 4: Simplify right side
    47,697.78x = 1,814,020,001.05
  5. Step 5: Solve for x
    x = 1,814,020,001.05/47,697.78
  6. Step 6: Final answer
    x = 38,031.54

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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.