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Finding the Fourth Proportional to 42,891.34, 59,188.32 and 23,771.38

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Solution

The fourth proportional to 42,891.34, 59,188.32 and 23,771.38 is: 32,803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,891.34 : 59,188.32 = 23,771.38 : x
  2. Step 2: Convert to fraction form
    42,891.34/59,188.32 = 23,771.38/x
  3. Step 3: Cross multiply
    42,891.34x = 59,188.32 × 23,771.38
  4. Step 4: Simplify right side
    42,891.34x = 1,406,988,046.28
  5. Step 5: Solve for x
    x = 1,406,988,046.28/42,891.34
  6. Step 6: Final answer
    x = 32,803.55

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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.