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Finding the Fourth Proportional to 105,562.54, 158,228.65 and 38,946.52

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Solution

The fourth proportional to 105,562.54, 158,228.65 and 38,946.52 is: 58,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,562.54 : 158,228.65 = 38,946.52 : x
  2. Step 2: Convert to fraction form
    105,562.54/158,228.65 = 38,946.52/x
  3. Step 3: Cross multiply
    105,562.54x = 158,228.65 × 38,946.52
  4. Step 4: Simplify right side
    105,562.54x = 6,162,455,281.80
  5. Step 5: Solve for x
    x = 6,162,455,281.80/105,562.54
  6. Step 6: Final answer
    x = 58,377.29

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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.