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Finding the Fourth Proportional to 47,122.65, 65,023.77 and 28,003.23

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Solution

The fourth proportional to 47,122.65, 65,023.77 and 28,003.23 is: 38,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,122.65 : 65,023.77 = 28,003.23 : x
  2. Step 2: Convert to fraction form
    47,122.65/65,023.77 = 28,003.23/x
  3. Step 3: Cross multiply
    47,122.65x = 65,023.77 × 28,003.23
  4. Step 4: Simplify right side
    47,122.65x = 1,820,875,586.78
  5. Step 5: Solve for x
    x = 1,820,875,586.78/47,122.65
  6. Step 6: Final answer
    x = 38,641.20

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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.