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Finding the Fourth Proportional to 38,024.66, 52,473.12 and 22,114.64

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Solution

The fourth proportional to 38,024.66, 52,473.12 and 22,114.64 is: 30,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024.66 : 52,473.12 = 22,114.64 : x
  2. Step 2: Convert to fraction form
    38,024.66/52,473.12 = 22,114.64/x
  3. Step 3: Cross multiply
    38,024.66x = 52,473.12 × 22,114.64
  4. Step 4: Simplify right side
    38,024.66x = 1,160,424,158.48
  5. Step 5: Solve for x
    x = 1,160,424,158.48/38,024.66
  6. Step 6: Final answer
    x = 30,517.67

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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.