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Finding the Fourth Proportional to 42,882, 59,177.16 and 24,019.08

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Solution

The fourth proportional to 42,882, 59,177.16 and 24,019.08 is: 33,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,882 : 59,177.16 = 24,019.08 : x
  2. Step 2: Convert to fraction form
    42,882/59,177.16 = 24,019.08/x
  3. Step 3: Cross multiply
    42,882x = 59,177.16 × 24,019.08
  4. Step 4: Simplify right side
    42,882x = 1,421,380,940.21
  5. Step 5: Solve for x
    x = 1,421,380,940.21/42,882
  6. Step 6: Final answer
    x = 33,146.33

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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.