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Finding the Fourth Proportional to 47,352.52, 65,357.94 and 28,486

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Solution

The fourth proportional to 47,352.52, 65,357.94 and 28,486 is: 39,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,352.52 : 65,357.94 = 28,486 : x
  2. Step 2: Convert to fraction form
    47,352.52/65,357.94 = 28,486/x
  3. Step 3: Cross multiply
    47,352.52x = 65,357.94 × 28,486
  4. Step 4: Simplify right side
    47,352.52x = 1,861,786,278.84
  5. Step 5: Solve for x
    x = 1,861,786,278.84/47,352.52
  6. Step 6: Final answer
    x = 39,317.58

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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.