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Finding the Fourth Proportional to 47,154.30, 65,086.74 and 28,047.51

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Solution

The fourth proportional to 47,154.30, 65,086.74 and 28,047.51 is: 38,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,154.30 : 65,086.74 = 28,047.51 : x
  2. Step 2: Convert to fraction form
    47,154.30/65,086.74 = 28,047.51/x
  3. Step 3: Cross multiply
    47,154.30x = 65,086.74 × 28,047.51
  4. Step 4: Simplify right side
    47,154.30x = 1,825,520,991.02
  5. Step 5: Solve for x
    x = 1,825,520,991.02/47,154.30
  6. Step 6: Final answer
    x = 38,713.78

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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.