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Finding the Fourth Proportional to 91,242.96, 136,873.08 and 35,826

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Solution

The fourth proportional to 91,242.96, 136,873.08 and 35,826 is: 53,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,242.96 : 136,873.08 = 35,826 : x
  2. Step 2: Convert to fraction form
    91,242.96/136,873.08 = 35,826/x
  3. Step 3: Cross multiply
    91,242.96x = 136,873.08 × 35,826
  4. Step 4: Simplify right side
    91,242.96x = 4,903,614,964.08
  5. Step 5: Solve for x
    x = 4,903,614,964.08/91,242.96
  6. Step 6: Final answer
    x = 53,742.39

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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.