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Finding the Fourth Proportional to 113,214.96, 169,812 and 38,326.54

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Solution

The fourth proportional to 113,214.96, 169,812 and 38,326.54 is: 57,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,214.96 : 169,812 = 38,326.54 : x
  2. Step 2: Convert to fraction form
    113,214.96/169,812 = 38,326.54/x
  3. Step 3: Cross multiply
    113,214.96x = 169,812 × 38,326.54
  4. Step 4: Simplify right side
    113,214.96x = 6,508,306,410.48
  5. Step 5: Solve for x
    x = 6,508,306,410.48/113,214.96
  6. Step 6: Final answer
    x = 57,486.28

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Why These Related Problems?

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