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Finding the Fourth Proportional to 49,671, 74,506.14 and 20,088.48

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Solution

The fourth proportional to 49,671, 74,506.14 and 20,088.48 is: 30,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,671 : 74,506.14 = 20,088.48 : x
  2. Step 2: Convert to fraction form
    49,671/74,506.14 = 20,088.48/x
  3. Step 3: Cross multiply
    49,671x = 74,506.14 × 20,088.48
  4. Step 4: Simplify right side
    49,671x = 1,496,715,103.27
  5. Step 5: Solve for x
    x = 1,496,715,103.27/49,671
  6. Step 6: Final answer
    x = 30,132.57

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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.