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Finding the Fourth Proportional to 105,643.72, 158,475.66 and 29,742.04

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Solution

The fourth proportional to 105,643.72, 158,475.66 and 29,742.04 is: 44,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,643.72 : 158,475.66 = 29,742.04 : x
  2. Step 2: Convert to fraction form
    105,643.72/158,475.66 = 29,742.04/x
  3. Step 3: Cross multiply
    105,643.72x = 158,475.66 × 29,742.04
  4. Step 4: Simplify right side
    105,643.72x = 4,713,389,418.75
  5. Step 5: Solve for x
    x = 4,713,389,418.75/105,643.72
  6. Step 6: Final answer
    x = 44,615.90

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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.