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Finding the Fourth Proportional to 30,963.32, 42,729.90 and 17,534.22

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Solution

The fourth proportional to 30,963.32, 42,729.90 and 17,534.22 is: 24,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,963.32 : 42,729.90 = 17,534.22 : x
  2. Step 2: Convert to fraction form
    30,963.32/42,729.90 = 17,534.22/x
  3. Step 3: Cross multiply
    30,963.32x = 42,729.90 × 17,534.22
  4. Step 4: Simplify right side
    30,963.32x = 749,235,467.18
  5. Step 5: Solve for x
    x = 749,235,467.18/30,963.32
  6. Step 6: Final answer
    x = 24,197.52

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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.