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Finding the Fourth Proportional to 57,213.12, 85,750.56 and 24,312

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Solution

The fourth proportional to 57,213.12, 85,750.56 and 24,312 is: 36,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,213.12 : 85,750.56 = 24,312 : x
  2. Step 2: Convert to fraction form
    57,213.12/85,750.56 = 24,312/x
  3. Step 3: Cross multiply
    57,213.12x = 85,750.56 × 24,312
  4. Step 4: Simplify right side
    57,213.12x = 2,084,767,614.72
  5. Step 5: Solve for x
    x = 2,084,767,614.72/57,213.12
  6. Step 6: Final answer
    x = 36,438.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.