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Finding the Fourth Proportional to 105,473.36, 158,205.90 and 38,884.70

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Solution

The fourth proportional to 105,473.36, 158,205.90 and 38,884.70 is: 58,325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,473.36 : 158,205.90 = 38,884.70 : x
  2. Step 2: Convert to fraction form
    105,473.36/158,205.90 = 38,884.70/x
  3. Step 3: Cross multiply
    105,473.36x = 158,205.90 × 38,884.70
  4. Step 4: Simplify right side
    105,473.36x = 6,151,788,959.73
  5. Step 5: Solve for x
    x = 6,151,788,959.73/105,473.36
  6. Step 6: Final answer
    x = 58,325.52

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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.