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Finding the Fourth Proportional to 48,531, 66,971.16 and 27,309

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Solution

The fourth proportional to 48,531, 66,971.16 and 27,309 is: 37,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,531 : 66,971.16 = 27,309 : x
  2. Step 2: Convert to fraction form
    48,531/66,971.16 = 27,309/x
  3. Step 3: Cross multiply
    48,531x = 66,971.16 × 27,309
  4. Step 4: Simplify right side
    48,531x = 1,828,915,408.44
  5. Step 5: Solve for x
    x = 1,828,915,408.44/48,531
  6. Step 6: Final answer
    x = 37,685.51

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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.