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Finding the Fourth Proportional to 47,648.80, 65,750.95 and 26,423.97

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Solution

The fourth proportional to 47,648.80, 65,750.95 and 26,423.97 is: 36,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,648.80 : 65,750.95 = 26,423.97 : x
  2. Step 2: Convert to fraction form
    47,648.80/65,750.95 = 26,423.97/x
  3. Step 3: Cross multiply
    47,648.80x = 65,750.95 × 26,423.97
  4. Step 4: Simplify right side
    47,648.80x = 1,737,401,130.27
  5. Step 5: Solve for x
    x = 1,737,401,130.27/47,648.80
  6. Step 6: Final answer
    x = 36,462.64

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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.