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Finding the Fourth Proportional to 47,452.83, 65,484 and 26,231.64

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Solution

The fourth proportional to 47,452.83, 65,484 and 26,231.64 is: 36,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,452.83 : 65,484 = 26,231.64 : x
  2. Step 2: Convert to fraction form
    47,452.83/65,484 = 26,231.64/x
  3. Step 3: Cross multiply
    47,452.83x = 65,484 × 26,231.64
  4. Step 4: Simplify right side
    47,452.83x = 1,717,752,713.76
  5. Step 5: Solve for x
    x = 1,717,752,713.76/47,452.83
  6. Step 6: Final answer
    x = 36,199.16

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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.