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Finding the Fourth Proportional to 105,889, 158,837.34 and 32,017

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Solution

The fourth proportional to 105,889, 158,837.34 and 32,017 is: 48,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,889 : 158,837.34 = 32,017 : x
  2. Step 2: Convert to fraction form
    105,889/158,837.34 = 32,017/x
  3. Step 3: Cross multiply
    105,889x = 158,837.34 × 32,017
  4. Step 4: Simplify right side
    105,889x = 5,085,495,114.78
  5. Step 5: Solve for x
    x = 5,085,495,114.78/105,889
  6. Step 6: Final answer
    x = 48,026.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.