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Finding the Fourth Proportional to 75,293.16, 112,872.73 and 28,578.84

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Solution

The fourth proportional to 75,293.16, 112,872.73 and 28,578.84 is: 42,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,293.16 : 112,872.73 = 28,578.84 : x
  2. Step 2: Convert to fraction form
    75,293.16/112,872.73 = 28,578.84/x
  3. Step 3: Cross multiply
    75,293.16x = 112,872.73 × 28,578.84
  4. Step 4: Simplify right side
    75,293.16x = 3,225,771,691.03
  5. Step 5: Solve for x
    x = 3,225,771,691.03/75,293.16
  6. Step 6: Final answer
    x = 42,842.83

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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.