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Finding the Fourth Proportional to 48,537, 66,982.68 and 29,670.48

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Solution

The fourth proportional to 48,537, 66,982.68 and 29,670.48 is: 40,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,537 : 66,982.68 = 29,670.48 : x
  2. Step 2: Convert to fraction form
    48,537/66,982.68 = 29,670.48/x
  3. Step 3: Cross multiply
    48,537x = 66,982.68 × 29,670.48
  4. Step 4: Simplify right side
    48,537x = 1,987,408,267.29
  5. Step 5: Solve for x
    x = 1,987,408,267.29/48,537
  6. Step 6: Final answer
    x = 40,946.25

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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.