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Finding the Fourth Proportional to 47,535, 65,615.58 and 27,663

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Solution

The fourth proportional to 47,535, 65,615.58 and 27,663 is: 38,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,535 : 65,615.58 = 27,663 : x
  2. Step 2: Convert to fraction form
    47,535/65,615.58 = 27,663/x
  3. Step 3: Cross multiply
    47,535x = 65,615.58 × 27,663
  4. Step 4: Simplify right side
    47,535x = 1,815,123,789.54
  5. Step 5: Solve for x
    x = 1,815,123,789.54/47,535
  6. Step 6: Final answer
    x = 38,185.00

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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.