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Finding the Fourth Proportional to 47,275.96, 65,211.96 and 28,142.96

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Solution

The fourth proportional to 47,275.96, 65,211.96 and 28,142.96 is: 38,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,275.96 : 65,211.96 = 28,142.96 : x
  2. Step 2: Convert to fraction form
    47,275.96/65,211.96 = 28,142.96/x
  3. Step 3: Cross multiply
    47,275.96x = 65,211.96 × 28,142.96
  4. Step 4: Simplify right side
    47,275.96x = 1,835,257,581.80
  5. Step 5: Solve for x
    x = 1,835,257,581.80/47,275.96
  6. Step 6: Final answer
    x = 38,820.10

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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.