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Finding the Fourth Proportional to 49,990, 74,995.08 and 22,288

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Solution

The fourth proportional to 49,990, 74,995.08 and 22,288 is: 33,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,990 : 74,995.08 = 22,288 : x
  2. Step 2: Convert to fraction form
    49,990/74,995.08 = 22,288/x
  3. Step 3: Cross multiply
    49,990x = 74,995.08 × 22,288
  4. Step 4: Simplify right side
    49,990x = 1,671,490,343.04
  5. Step 5: Solve for x
    x = 1,671,490,343.04/49,990
  6. Step 6: Final answer
    x = 33,436.49

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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.