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Finding the Fourth Proportional to 36,008, 54,011.84 and 9,715.36

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Solution

The fourth proportional to 36,008, 54,011.84 and 9,715.36 is: 14,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,008 : 54,011.84 = 9,715.36 : x
  2. Step 2: Convert to fraction form
    36,008/54,011.84 = 9,715.36/x
  3. Step 3: Cross multiply
    36,008x = 54,011.84 × 9,715.36
  4. Step 4: Simplify right side
    36,008x = 524,744,469.86
  5. Step 5: Solve for x
    x = 524,744,469.86/36,008
  6. Step 6: Final answer
    x = 14,573.00

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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.