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Finding the Fourth Proportional to 36,199.71, 54,302.00 and 9,904.68

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Solution

The fourth proportional to 36,199.71, 54,302.00 and 9,904.68 is: 14,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,199.71 : 54,302.00 = 9,904.68 : x
  2. Step 2: Convert to fraction form
    36,199.71/54,302.00 = 9,904.68/x
  3. Step 3: Cross multiply
    36,199.71x = 54,302.00 × 9,904.68
  4. Step 4: Simplify right side
    36,199.71x = 537,843,883.84
  5. Step 5: Solve for x
    x = 537,843,883.84/36,199.71
  6. Step 6: Final answer
    x = 14,857.68

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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.