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Finding the Fourth Proportional to 31,061.98, 42,853.08 and 20,303.38

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Solution

The fourth proportional to 31,061.98, 42,853.08 and 20,303.38 is: 28,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,061.98 : 42,853.08 = 20,303.38 : x
  2. Step 2: Convert to fraction form
    31,061.98/42,853.08 = 20,303.38/x
  3. Step 3: Cross multiply
    31,061.98x = 42,853.08 × 20,303.38
  4. Step 4: Simplify right side
    31,061.98x = 870,062,367.41
  5. Step 5: Solve for x
    x = 870,062,367.41/31,061.98
  6. Step 6: Final answer
    x = 28,010.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.