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Finding the Fourth Proportional to 49,509.48, 74,266.74 and 14,451.78

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Solution

The fourth proportional to 49,509.48, 74,266.74 and 14,451.78 is: 21,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509.48 : 74,266.74 = 14,451.78 : x
  2. Step 2: Convert to fraction form
    49,509.48/74,266.74 = 14,451.78/x
  3. Step 3: Cross multiply
    49,509.48x = 74,266.74 × 14,451.78
  4. Step 4: Simplify right side
    49,509.48x = 1,073,286,587.80
  5. Step 5: Solve for x
    x = 1,073,286,587.80/49,509.48
  6. Step 6: Final answer
    x = 21,678.41

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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.