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Finding the Fourth Proportional to 105,642.72, 158,474.16 and 29,741.04

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Solution

The fourth proportional to 105,642.72, 158,474.16 and 29,741.04 is: 44,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,642.72 : 158,474.16 = 29,741.04 : x
  2. Step 2: Convert to fraction form
    105,642.72/158,474.16 = 29,741.04/x
  3. Step 3: Cross multiply
    105,642.72x = 158,474.16 × 29,741.04
  4. Step 4: Simplify right side
    105,642.72x = 4,713,186,331.53
  5. Step 5: Solve for x
    x = 4,713,186,331.53/105,642.72
  6. Step 6: Final answer
    x = 44,614.40

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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.