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Finding the Fourth Proportional to 35,494.91, 53,242.31 and 9,199.68

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Solution

The fourth proportional to 35,494.91, 53,242.31 and 9,199.68 is: 13,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,494.91 : 53,242.31 = 9,199.68 : x
  2. Step 2: Convert to fraction form
    35,494.91/53,242.31 = 9,199.68/x
  3. Step 3: Cross multiply
    35,494.91x = 53,242.31 × 9,199.68
  4. Step 4: Simplify right side
    35,494.91x = 489,812,037.80
  5. Step 5: Solve for x
    x = 489,812,037.80/35,494.91
  6. Step 6: Final answer
    x = 13,799.50

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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.