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Finding the Fourth Proportional to 62,197.40, 93,268.02 and 17,814

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Solution

The fourth proportional to 62,197.40, 93,268.02 and 17,814 is: 26,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,197.40 : 93,268.02 = 17,814 : x
  2. Step 2: Convert to fraction form
    62,197.40/93,268.02 = 17,814/x
  3. Step 3: Cross multiply
    62,197.40x = 93,268.02 × 17,814
  4. Step 4: Simplify right side
    62,197.40x = 1,661,476,508.28
  5. Step 5: Solve for x
    x = 1,661,476,508.28/62,197.40
  6. Step 6: Final answer
    x = 26,712.96

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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.