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Finding the Fourth Proportional to 49,649.04, 74,444.76 and 20,042.64

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Solution

The fourth proportional to 49,649.04, 74,444.76 and 20,042.64 is: 30,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,649.04 : 74,444.76 = 20,042.64 : x
  2. Step 2: Convert to fraction form
    49,649.04/74,444.76 = 20,042.64/x
  3. Step 3: Cross multiply
    49,649.04x = 74,444.76 × 20,042.64
  4. Step 4: Simplify right side
    49,649.04x = 1,492,069,524.57
  5. Step 5: Solve for x
    x = 1,492,069,524.57/49,649.04
  6. Step 6: Final answer
    x = 30,052.33

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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.