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Finding the Fourth Proportional to 47,478.38, 65,514.48 and 26,254.76

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Solution

The fourth proportional to 47,478.38, 65,514.48 and 26,254.76 is: 36,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,478.38 : 65,514.48 = 26,254.76 : x
  2. Step 2: Convert to fraction form
    47,478.38/65,514.48 = 26,254.76/x
  3. Step 3: Cross multiply
    47,478.38x = 65,514.48 × 26,254.76
  4. Step 4: Simplify right side
    47,478.38x = 1,720,066,621.35
  5. Step 5: Solve for x
    x = 1,720,066,621.35/47,478.38
  6. Step 6: Final answer
    x = 36,228.42

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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.