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Finding the Fourth Proportional to 89,866.50, 134,799.75 and 24,202.50

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Solution

The fourth proportional to 89,866.50, 134,799.75 and 24,202.50 is: 36,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,866.50 : 134,799.75 = 24,202.50 : x
  2. Step 2: Convert to fraction form
    89,866.50/134,799.75 = 24,202.50/x
  3. Step 3: Cross multiply
    89,866.50x = 134,799.75 × 24,202.50
  4. Step 4: Simplify right side
    89,866.50x = 3,262,490,949.38
  5. Step 5: Solve for x
    x = 3,262,490,949.38/89,866.50
  6. Step 6: Final answer
    x = 36,303.75

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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.