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Finding the Fourth Proportional to 73,275.34, 109,839.14 and 28,884.90

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Solution

The fourth proportional to 73,275.34, 109,839.14 and 28,884.90 is: 43,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,275.34 : 109,839.14 = 28,884.90 : x
  2. Step 2: Convert to fraction form
    73,275.34/109,839.14 = 28,884.90/x
  3. Step 3: Cross multiply
    73,275.34x = 109,839.14 × 28,884.90
  4. Step 4: Simplify right side
    73,275.34x = 3,172,692,574.99
  5. Step 5: Solve for x
    x = 3,172,692,574.99/73,275.34
  6. Step 6: Final answer
    x = 43,298.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.