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Finding the Fourth Proportional to 31,124.96, 42,952.08 and 16,977.92

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Solution

The fourth proportional to 31,124.96, 42,952.08 and 16,977.92 is: 23,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.96 : 42,952.08 = 16,977.92 : x
  2. Step 2: Convert to fraction form
    31,124.96/42,952.08 = 16,977.92/x
  3. Step 3: Cross multiply
    31,124.96x = 42,952.08 × 16,977.92
  4. Step 4: Simplify right side
    31,124.96x = 729,236,978.07
  5. Step 5: Solve for x
    x = 729,236,978.07/31,124.96
  6. Step 6: Final answer
    x = 23,429.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.