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Finding the Fourth Proportional to 34,024, 50,948.96 and 30,867.52

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Solution

The fourth proportional to 34,024, 50,948.96 and 30,867.52 is: 46,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,024 : 50,948.96 = 30,867.52 : x
  2. Step 2: Convert to fraction form
    34,024/50,948.96 = 30,867.52/x
  3. Step 3: Cross multiply
    34,024x = 50,948.96 × 30,867.52
  4. Step 4: Simplify right side
    34,024x = 1,572,668,041.78
  5. Step 5: Solve for x
    x = 1,572,668,041.78/34,024
  6. Step 6: Final answer
    x = 46,222.31

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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.