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Finding the Fourth Proportional to 105,879, 158,818.50 and 32,007

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Solution

The fourth proportional to 105,879, 158,818.50 and 32,007 is: 48,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,879 : 158,818.50 = 32,007 : x
  2. Step 2: Convert to fraction form
    105,879/158,818.50 = 32,007/x
  3. Step 3: Cross multiply
    105,879x = 158,818.50 × 32,007
  4. Step 4: Simplify right side
    105,879x = 5,083,303,729.50
  5. Step 5: Solve for x
    x = 5,083,303,729.50/105,879
  6. Step 6: Final answer
    x = 48,010.50

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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.