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Finding the Fourth Proportional to 31,645, 43,669.78 and 17,497.16

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Solution

The fourth proportional to 31,645, 43,669.78 and 17,497.16 is: 24,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,645 : 43,669.78 = 17,497.16 : x
  2. Step 2: Convert to fraction form
    31,645/43,669.78 = 17,497.16/x
  3. Step 3: Cross multiply
    31,645x = 43,669.78 × 17,497.16
  4. Step 4: Simplify right side
    31,645x = 764,097,127.82
  5. Step 5: Solve for x
    x = 764,097,127.82/31,645
  6. Step 6: Final answer
    x = 24,145.90

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