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Finding the Fourth Proportional to 31,045.80, 42,825.02 and 22,538

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Solution

The fourth proportional to 31,045.80, 42,825.02 and 22,538 is: 31,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,045.80 : 42,825.02 = 22,538 : x
  2. Step 2: Convert to fraction form
    31,045.80/42,825.02 = 22,538/x
  3. Step 3: Cross multiply
    31,045.80x = 42,825.02 × 22,538
  4. Step 4: Simplify right side
    31,045.80x = 965,190,300.76
  5. Step 5: Solve for x
    x = 965,190,300.76/31,045.80
  6. Step 6: Final answer
    x = 31,089.24

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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.