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Finding the Fourth Proportional to 47,703.78, 65,834.28 and 27,561.54

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Solution

The fourth proportional to 47,703.78, 65,834.28 and 27,561.54 is: 38,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,703.78 : 65,834.28 = 27,561.54 : x
  2. Step 2: Convert to fraction form
    47,703.78/65,834.28 = 27,561.54/x
  3. Step 3: Cross multiply
    47,703.78x = 65,834.28 × 27,561.54
  4. Step 4: Simplify right side
    47,703.78x = 1,814,494,141.59
  5. Step 5: Solve for x
    x = 1,814,494,141.59/47,703.78
  6. Step 6: Final answer
    x = 38,036.70

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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.