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Finding the Fourth Proportional to 43,097.68, 59,474.28 and 24,238

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Solution

The fourth proportional to 43,097.68, 59,474.28 and 24,238 is: 33,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,097.68 : 59,474.28 = 24,238 : x
  2. Step 2: Convert to fraction form
    43,097.68/59,474.28 = 24,238/x
  3. Step 3: Cross multiply
    43,097.68x = 59,474.28 × 24,238
  4. Step 4: Simplify right side
    43,097.68x = 1,441,537,598.64
  5. Step 5: Solve for x
    x = 1,441,537,598.64/43,097.68
  6. Step 6: Final answer
    x = 33,448.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.