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Finding the Fourth Proportional to 31,005.48, 42,788.04 and 16,858.38

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Solution

The fourth proportional to 31,005.48, 42,788.04 and 16,858.38 is: 23,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.48 : 42,788.04 = 16,858.38 : x
  2. Step 2: Convert to fraction form
    31,005.48/42,788.04 = 16,858.38/x
  3. Step 3: Cross multiply
    31,005.48x = 42,788.04 × 16,858.38
  4. Step 4: Simplify right side
    31,005.48x = 721,337,037.78
  5. Step 5: Solve for x
    x = 721,337,037.78/31,005.48
  6. Step 6: Final answer
    x = 23,264.82

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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.