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Finding the Fourth Proportional to 31,102.86, 42,888.06 and 21,013.80

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Solution

The fourth proportional to 31,102.86, 42,888.06 and 21,013.80 is: 28,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.86 : 42,888.06 = 21,013.80 : x
  2. Step 2: Convert to fraction form
    31,102.86/42,888.06 = 21,013.80/x
  3. Step 3: Cross multiply
    31,102.86x = 42,888.06 × 21,013.80
  4. Step 4: Simplify right side
    31,102.86x = 901,241,257.16
  5. Step 5: Solve for x
    x = 901,241,257.16/31,102.86
  6. Step 6: Final answer
    x = 28,976.15

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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.