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Finding the Fourth Proportional to 38,204.70, 57,307.05 and 35,580.30

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Solution

The fourth proportional to 38,204.70, 57,307.05 and 35,580.30 is: 53,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,204.70 : 57,307.05 = 35,580.30 : x
  2. Step 2: Convert to fraction form
    38,204.70/57,307.05 = 35,580.30/x
  3. Step 3: Cross multiply
    38,204.70x = 57,307.05 × 35,580.30
  4. Step 4: Simplify right side
    38,204.70x = 2,039,002,031.12
  5. Step 5: Solve for x
    x = 2,039,002,031.12/38,204.70
  6. Step 6: Final answer
    x = 53,370.45

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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.