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Finding the Fourth Proportional to 52,148.80, 71,965.12 and 28,275.36

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Solution

The fourth proportional to 52,148.80, 71,965.12 and 28,275.36 is: 39,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,148.80 : 71,965.12 = 28,275.36 : x
  2. Step 2: Convert to fraction form
    52,148.80/71,965.12 = 28,275.36/x
  3. Step 3: Cross multiply
    52,148.80x = 71,965.12 × 28,275.36
  4. Step 4: Simplify right side
    52,148.80x = 2,034,839,675.44
  5. Step 5: Solve for x
    x = 2,034,839,675.44/52,148.80
  6. Step 6: Final answer
    x = 39,019.88

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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.