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Finding the Fourth Proportional to 30,531.82, 42,133.15 and 17,102.98

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Solution

The fourth proportional to 30,531.82, 42,133.15 and 17,102.98 is: 23,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.82 : 42,133.15 = 17,102.98 : x
  2. Step 2: Convert to fraction form
    30,531.82/42,133.15 = 17,102.98/x
  3. Step 3: Cross multiply
    30,531.82x = 42,133.15 × 17,102.98
  4. Step 4: Simplify right side
    30,531.82x = 720,602,336.27
  5. Step 5: Solve for x
    x = 720,602,336.27/30,531.82
  6. Step 6: Final answer
    x = 23,601.69

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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.