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Finding the Fourth Proportional to 105,882, 158,823 and 32,010

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Solution

The fourth proportional to 105,882, 158,823 and 32,010 is: 48,015

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,882 : 158,823 = 32,010 : x
  2. Step 2: Convert to fraction form
    105,882/158,823 = 32,010/x
  3. Step 3: Cross multiply
    105,882x = 158,823 × 32,010
  4. Step 4: Simplify right side
    105,882x = 5,083,924,230
  5. Step 5: Solve for x
    x = 5,083,924,230/105,882
  6. Step 6: Final answer
    x = 48,015

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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.