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Finding the Fourth Proportional to 38,373.84, 52,956 and 22,244.25

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Solution

The fourth proportional to 38,373.84, 52,956 and 22,244.25 is: 30,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,373.84 : 52,956 = 22,244.25 : x
  2. Step 2: Convert to fraction form
    38,373.84/52,956 = 22,244.25/x
  3. Step 3: Cross multiply
    38,373.84x = 52,956 × 22,244.25
  4. Step 4: Simplify right side
    38,373.84x = 1,177,966,503
  5. Step 5: Solve for x
    x = 1,177,966,503/38,373.84
  6. Step 6: Final answer
    x = 30,697.12

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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.