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Finding the Fourth Proportional to 47,406, 65,420.28 and 28,543.92

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Solution

The fourth proportional to 47,406, 65,420.28 and 28,543.92 is: 39,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,406 : 65,420.28 = 28,543.92 : x
  2. Step 2: Convert to fraction form
    47,406/65,420.28 = 28,543.92/x
  3. Step 3: Cross multiply
    47,406x = 65,420.28 × 28,543.92
  4. Step 4: Simplify right side
    47,406x = 1,867,351,238.70
  5. Step 5: Solve for x
    x = 1,867,351,238.70/47,406
  6. Step 6: Final answer
    x = 39,390.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.