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Finding the Fourth Proportional to 47,022.28, 64,886.02 and 28,158.92

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Solution

The fourth proportional to 47,022.28, 64,886.02 and 28,158.92 is: 38,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,022.28 : 64,886.02 = 28,158.92 : x
  2. Step 2: Convert to fraction form
    47,022.28/64,886.02 = 28,158.92/x
  3. Step 3: Cross multiply
    47,022.28x = 64,886.02 × 28,158.92
  4. Step 4: Simplify right side
    47,022.28x = 1,827,120,246.30
  5. Step 5: Solve for x
    x = 1,827,120,246.30/47,022.28
  6. Step 6: Final answer
    x = 38,856.48

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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.