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Finding the Fourth Proportional to 35,494.12, 53,241.02 and 9,196.68

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Solution

The fourth proportional to 35,494.12, 53,241.02 and 9,196.68 is: 13,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,494.12 : 53,241.02 = 9,196.68 : x
  2. Step 2: Convert to fraction form
    35,494.12/53,241.02 = 9,196.68/x
  3. Step 3: Cross multiply
    35,494.12x = 53,241.02 × 9,196.68
  4. Step 4: Simplify right side
    35,494.12x = 489,640,623.81
  5. Step 5: Solve for x
    x = 489,640,623.81/35,494.12
  6. Step 6: Final answer
    x = 13,794.98

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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.