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Finding the Fourth Proportional to 75,212.80, 112,862.40 and 28,499.20

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Solution

The fourth proportional to 75,212.80, 112,862.40 and 28,499.20 is: 42,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,212.80 : 112,862.40 = 28,499.20 : x
  2. Step 2: Convert to fraction form
    75,212.80/112,862.40 = 28,499.20/x
  3. Step 3: Cross multiply
    75,212.80x = 112,862.40 × 28,499.20
  4. Step 4: Simplify right side
    75,212.80x = 3,216,488,110.08
  5. Step 5: Solve for x
    x = 3,216,488,110.08/75,212.80
  6. Step 6: Final answer
    x = 42,765.17

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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.