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Finding the Fourth Proportional to 32,670, 45,084.76 and 17,766

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Solution

The fourth proportional to 32,670, 45,084.76 and 17,766 is: 24,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,670 : 45,084.76 = 17,766 : x
  2. Step 2: Convert to fraction form
    32,670/45,084.76 = 17,766/x
  3. Step 3: Cross multiply
    32,670x = 45,084.76 × 17,766
  4. Step 4: Simplify right side
    32,670x = 800,975,846.16
  5. Step 5: Solve for x
    x = 800,975,846.16/32,670
  6. Step 6: Final answer
    x = 24,517.17

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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.