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Finding the Fourth Proportional to 75,200.82, 112,767.50 and 44,820.30

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Solution

The fourth proportional to 75,200.82, 112,767.50 and 44,820.30 is: 67,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200.82 : 112,767.50 = 44,820.30 : x
  2. Step 2: Convert to fraction form
    75,200.82/112,767.50 = 44,820.30/x
  3. Step 3: Cross multiply
    75,200.82x = 112,767.50 × 44,820.30
  4. Step 4: Simplify right side
    75,200.82x = 5,054,273,292.30
  5. Step 5: Solve for x
    x = 5,054,273,292.30/75,200.82
  6. Step 6: Final answer
    x = 67,210.35

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