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Finding the Fourth Proportional to 34,678.16, 52,046.40 and 18,044

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Solution

The fourth proportional to 34,678.16, 52,046.40 and 18,044 is: 27,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,678.16 : 52,046.40 = 18,044 : x
  2. Step 2: Convert to fraction form
    34,678.16/52,046.40 = 18,044/x
  3. Step 3: Cross multiply
    34,678.16x = 52,046.40 × 18,044
  4. Step 4: Simplify right side
    34,678.16x = 939,125,241.60
  5. Step 5: Solve for x
    x = 939,125,241.60/34,678.16
  6. Step 6: Final answer
    x = 27,081.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.