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Finding the Fourth Proportional to 31,087.61, 42,886.14 and 21,019.52

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Solution

The fourth proportional to 31,087.61, 42,886.14 and 21,019.52 is: 28,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,087.61 : 42,886.14 = 21,019.52 : x
  2. Step 2: Convert to fraction form
    31,087.61/42,886.14 = 21,019.52/x
  3. Step 3: Cross multiply
    31,087.61x = 42,886.14 × 21,019.52
  4. Step 4: Simplify right side
    31,087.61x = 901,446,077.45
  5. Step 5: Solve for x
    x = 901,446,077.45/31,087.61
  6. Step 6: Final answer
    x = 28,996.96

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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.