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Finding the Fourth Proportional to 38,044.50, 57,066.89 and 10,342.50

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Solution

The fourth proportional to 38,044.50, 57,066.89 and 10,342.50 is: 15,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,044.50 : 57,066.89 = 10,342.50 : x
  2. Step 2: Convert to fraction form
    38,044.50/57,066.89 = 10,342.50/x
  3. Step 3: Cross multiply
    38,044.50x = 57,066.89 × 10,342.50
  4. Step 4: Simplify right side
    38,044.50x = 590,214,258.11
  5. Step 5: Solve for x
    x = 590,214,258.11/38,044.50
  6. Step 6: Final answer
    x = 15,513.79

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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.