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Finding the Fourth Proportional to 47,575.54, 65,650.93 and 26,353

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Solution

The fourth proportional to 47,575.54, 65,650.93 and 26,353 is: 36,365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,575.54 : 65,650.93 = 26,353 : x
  2. Step 2: Convert to fraction form
    47,575.54/65,650.93 = 26,353/x
  3. Step 3: Cross multiply
    47,575.54x = 65,650.93 × 26,353
  4. Step 4: Simplify right side
    47,575.54x = 1,730,098,958.29
  5. Step 5: Solve for x
    x = 1,730,098,958.29/47,575.54
  6. Step 6: Final answer
    x = 36,365.30

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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.