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Finding the Fourth Proportional to 57,024, 78,693.12 and 34,668

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Solution

The fourth proportional to 57,024, 78,693.12 and 34,668 is: 47,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,024 : 78,693.12 = 34,668 : x
  2. Step 2: Convert to fraction form
    57,024/78,693.12 = 34,668/x
  3. Step 3: Cross multiply
    57,024x = 78,693.12 × 34,668
  4. Step 4: Simplify right side
    57,024x = 2,728,133,084.16
  5. Step 5: Solve for x
    x = 2,728,133,084.16/57,024
  6. Step 6: Final answer
    x = 47,841.84

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Why These Related Problems?

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