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Finding the Fourth Proportional to 105,339.29, 158,071.30 and 38,826.14

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Solution

The fourth proportional to 105,339.29, 158,071.30 and 38,826.14 is: 58,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,339.29 : 158,071.30 = 38,826.14 : x
  2. Step 2: Convert to fraction form
    105,339.29/158,071.30 = 38,826.14/x
  3. Step 3: Cross multiply
    105,339.29x = 158,071.30 × 38,826.14
  4. Step 4: Simplify right side
    105,339.29x = 6,137,297,536.36
  5. Step 5: Solve for x
    x = 6,137,297,536.36/105,339.29
  6. Step 6: Final answer
    x = 58,262.19

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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.