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Finding the Fourth Proportional to 36,569, 54,801.02 and 19,892.68

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Solution

The fourth proportional to 36,569, 54,801.02 and 19,892.68 is: 29,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,569 : 54,801.02 = 19,892.68 : x
  2. Step 2: Convert to fraction form
    36,569/54,801.02 = 19,892.68/x
  3. Step 3: Cross multiply
    36,569x = 54,801.02 × 19,892.68
  4. Step 4: Simplify right side
    36,569x = 1,090,139,154.53
  5. Step 5: Solve for x
    x = 1,090,139,154.53/36,569
  6. Step 6: Final answer
    x = 29,810.47

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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.