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Finding the Fourth Proportional to 29,585.78, 40,827.63 and 16,157.42

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Solution

The fourth proportional to 29,585.78, 40,827.63 and 16,157.42 is: 22,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,585.78 : 40,827.63 = 16,157.42 : x
  2. Step 2: Convert to fraction form
    29,585.78/40,827.63 = 16,157.42/x
  3. Step 3: Cross multiply
    29,585.78x = 40,827.63 × 16,157.42
  4. Step 4: Simplify right side
    29,585.78x = 659,669,165.51
  5. Step 5: Solve for x
    x = 659,669,165.51/29,585.78
  6. Step 6: Final answer
    x = 22,296.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.