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Finding the Fourth Proportional to 75,208.80, 112,856.40 and 28,495.20

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Solution

The fourth proportional to 75,208.80, 112,856.40 and 28,495.20 is: 42,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,208.80 : 112,856.40 = 28,495.20 : x
  2. Step 2: Convert to fraction form
    75,208.80/112,856.40 = 28,495.20/x
  3. Step 3: Cross multiply
    75,208.80x = 112,856.40 × 28,495.20
  4. Step 4: Simplify right side
    75,208.80x = 3,215,865,689.28
  5. Step 5: Solve for x
    x = 3,215,865,689.28/75,208.80
  6. Step 6: Final answer
    x = 42,759.17

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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.