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Finding the Fourth Proportional to 36,789, 55,184.58 and 9,087

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Solution

The fourth proportional to 36,789, 55,184.58 and 9,087 is: 13,630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,789 : 55,184.58 = 9,087 : x
  2. Step 2: Convert to fraction form
    36,789/55,184.58 = 9,087/x
  3. Step 3: Cross multiply
    36,789x = 55,184.58 × 9,087
  4. Step 4: Simplify right side
    36,789x = 501,462,278.46
  5. Step 5: Solve for x
    x = 501,462,278.46/36,789
  6. Step 6: Final answer
    x = 13,630.77

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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.