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Finding the Fourth Proportional to 31,060.98, 42,851.70 and 20,302.38

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Solution

The fourth proportional to 31,060.98, 42,851.70 and 20,302.38 is: 28,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,060.98 : 42,851.70 = 20,302.38 : x
  2. Step 2: Convert to fraction form
    31,060.98/42,851.70 = 20,302.38/x
  3. Step 3: Cross multiply
    31,060.98x = 42,851.70 × 20,302.38
  4. Step 4: Simplify right side
    31,060.98x = 869,991,497.05
  5. Step 5: Solve for x
    x = 869,991,497.05/31,060.98
  6. Step 6: Final answer
    x = 28,009.15

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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.