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Finding the Fourth Proportional to 30,914.75, 42,660.06 and 17,301

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Solution

The fourth proportional to 30,914.75, 42,660.06 and 17,301 is: 23,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.75 : 42,660.06 = 17,301 : x
  2. Step 2: Convert to fraction form
    30,914.75/42,660.06 = 17,301/x
  3. Step 3: Cross multiply
    30,914.75x = 42,660.06 × 17,301
  4. Step 4: Simplify right side
    30,914.75x = 738,061,698.06
  5. Step 5: Solve for x
    x = 738,061,698.06/30,914.75
  6. Step 6: Final answer
    x = 23,874.10

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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.