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Finding the Fourth Proportional to 105,937.29, 158,905.80 and 27,051.57

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Solution

The fourth proportional to 105,937.29, 158,905.80 and 27,051.57 is: 40,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,937.29 : 158,905.80 = 27,051.57 : x
  2. Step 2: Convert to fraction form
    105,937.29/158,905.80 = 27,051.57/x
  3. Step 3: Cross multiply
    105,937.29x = 158,905.80 × 27,051.57
  4. Step 4: Simplify right side
    105,937.29x = 4,298,651,372.11
  5. Step 5: Solve for x
    x = 4,298,651,372.11/105,937.29
  6. Step 6: Final answer
    x = 40,577.32

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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.