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Finding the Fourth Proportional to 52,148.67, 71,965.32 and 28,275.35

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Solution

The fourth proportional to 52,148.67, 71,965.32 and 28,275.35 is: 39,020.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,148.67 : 71,965.32 = 28,275.35 : x
  2. Step 2: Convert to fraction form
    52,148.67/71,965.32 = 28,275.35/x
  3. Step 3: Cross multiply
    52,148.67x = 71,965.32 × 28,275.35
  4. Step 4: Simplify right side
    52,148.67x = 2,034,844,610.86
  5. Step 5: Solve for x
    x = 2,034,844,610.86/52,148.67
  6. Step 6: Final answer
    x = 39,020.07

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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.