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Finding the Fourth Proportional to 51,472, 77,337.08 and 32,760.12

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Solution

The fourth proportional to 51,472, 77,337.08 and 32,760.12 is: 49,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,472 : 77,337.08 = 32,760.12 : x
  2. Step 2: Convert to fraction form
    51,472/77,337.08 = 32,760.12/x
  3. Step 3: Cross multiply
    51,472x = 77,337.08 × 32,760.12
  4. Step 4: Simplify right side
    51,472x = 2,533,572,021.25
  5. Step 5: Solve for x
    x = 2,533,572,021.25/51,472
  6. Step 6: Final answer
    x = 49,222.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.