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Finding the Fourth Proportional to 46,479, 69,706.04 and 20,177.49

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Solution

The fourth proportional to 46,479, 69,706.04 and 20,177.49 is: 30,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,479 : 69,706.04 = 20,177.49 : x
  2. Step 2: Convert to fraction form
    46,479/69,706.04 = 20,177.49/x
  3. Step 3: Cross multiply
    46,479x = 69,706.04 × 20,177.49
  4. Step 4: Simplify right side
    46,479x = 1,406,492,824.15
  5. Step 5: Solve for x
    x = 1,406,492,824.15/46,479
  6. Step 6: Final answer
    x = 30,260.82

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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.