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Finding the Fourth Proportional to 30,700.32, 42,364.71 and 17,272.14

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Solution

The fourth proportional to 30,700.32, 42,364.71 and 17,272.14 is: 23,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.32 : 42,364.71 = 17,272.14 : x
  2. Step 2: Convert to fraction form
    30,700.32/42,364.71 = 17,272.14/x
  3. Step 3: Cross multiply
    30,700.32x = 42,364.71 × 17,272.14
  4. Step 4: Simplify right side
    30,700.32x = 731,729,202.18
  5. Step 5: Solve for x
    x = 731,729,202.18/30,700.32
  6. Step 6: Final answer
    x = 23,834.58

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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.