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Finding the Fourth Proportional to 57,848, 79,830.24 and 31,352

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Solution

The fourth proportional to 57,848, 79,830.24 and 31,352 is: 43,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,848 : 79,830.24 = 31,352 : x
  2. Step 2: Convert to fraction form
    57,848/79,830.24 = 31,352/x
  3. Step 3: Cross multiply
    57,848x = 79,830.24 × 31,352
  4. Step 4: Simplify right side
    57,848x = 2,502,837,684.48
  5. Step 5: Solve for x
    x = 2,502,837,684.48/57,848
  6. Step 6: Final answer
    x = 43,265.76

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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.