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Finding the Fourth Proportional to 83,670, 115,464.72 and 45,946.80

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Solution

The fourth proportional to 83,670, 115,464.72 and 45,946.80 is: 63,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,670 : 115,464.72 = 45,946.80 : x
  2. Step 2: Convert to fraction form
    83,670/115,464.72 = 45,946.80/x
  3. Step 3: Cross multiply
    83,670x = 115,464.72 × 45,946.80
  4. Step 4: Simplify right side
    83,670x = 5,305,234,396.90
  5. Step 5: Solve for x
    x = 5,305,234,396.90/83,670
  6. Step 6: Final answer
    x = 63,406.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.