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Finding the Fourth Proportional to 113,311, 169,970.10 and 34,425.91

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Solution

The fourth proportional to 113,311, 169,970.10 and 34,425.91 is: 51,639.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,311 : 169,970.10 = 34,425.91 : x
  2. Step 2: Convert to fraction form
    113,311/169,970.10 = 34,425.91/x
  3. Step 3: Cross multiply
    113,311x = 169,970.10 × 34,425.91
  4. Step 4: Simplify right side
    113,311x = 5,851,375,365.29
  5. Step 5: Solve for x
    x = 5,851,375,365.29/113,311
  6. Step 6: Final answer
    x = 51,639.96

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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.