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Finding the Fourth Proportional to 31,078.80, 42,874.05 and 21,010.77

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Solution

The fourth proportional to 31,078.80, 42,874.05 and 21,010.77 is: 28,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,078.80 : 42,874.05 = 21,010.77 : x
  2. Step 2: Convert to fraction form
    31,078.80/42,874.05 = 21,010.77/x
  3. Step 3: Cross multiply
    31,078.80x = 42,874.05 × 21,010.77
  4. Step 4: Simplify right side
    31,078.80x = 900,816,803.52
  5. Step 5: Solve for x
    x = 900,816,803.52/31,078.80
  6. Step 6: Final answer
    x = 28,984.93

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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.