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Finding the Fourth Proportional to 57,853, 79,837.16 and 31,357

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Solution

The fourth proportional to 57,853, 79,837.16 and 31,357 is: 43,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,853 : 79,837.16 = 31,357 : x
  2. Step 2: Convert to fraction form
    57,853/79,837.16 = 31,357/x
  3. Step 3: Cross multiply
    57,853x = 79,837.16 × 31,357
  4. Step 4: Simplify right side
    57,853x = 2,503,453,826.12
  5. Step 5: Solve for x
    x = 2,503,453,826.12/57,853
  6. Step 6: Final answer
    x = 43,272.67

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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.