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Finding the Fourth Proportional to 31,043.52, 42,838.56 and 16,895.52

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Solution

The fourth proportional to 31,043.52, 42,838.56 and 16,895.52 is: 23,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.52 : 42,838.56 = 16,895.52 : x
  2. Step 2: Convert to fraction form
    31,043.52/42,838.56 = 16,895.52/x
  3. Step 3: Cross multiply
    31,043.52x = 42,838.56 × 16,895.52
  4. Step 4: Simplify right side
    31,043.52x = 723,779,747.25
  5. Step 5: Solve for x
    x = 723,779,747.25/31,043.52
  6. Step 6: Final answer
    x = 23,315.00

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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.