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Finding the Fourth Proportional to 133,690.51, 200,535.77 and 32,488.01

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Solution

The fourth proportional to 133,690.51, 200,535.77 and 32,488.01 is: 48,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,690.51 : 200,535.77 = 32,488.01 : x
  2. Step 2: Convert to fraction form
    133,690.51/200,535.77 = 32,488.01/x
  3. Step 3: Cross multiply
    133,690.51x = 200,535.77 × 32,488.01
  4. Step 4: Simplify right side
    133,690.51x = 6,515,008,101.12
  5. Step 5: Solve for x
    x = 6,515,008,101.12/133,690.51
  6. Step 6: Final answer
    x = 48,732.02

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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.