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Finding the Fourth Proportional to 30,531.98, 42,134.50 and 17,103

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Solution

The fourth proportional to 30,531.98, 42,134.50 and 17,103 is: 23,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.98 : 42,134.50 = 17,103 : x
  2. Step 2: Convert to fraction form
    30,531.98/42,134.50 = 17,103/x
  3. Step 3: Cross multiply
    30,531.98x = 42,134.50 × 17,103
  4. Step 4: Simplify right side
    30,531.98x = 720,626,353.50
  5. Step 5: Solve for x
    x = 720,626,353.50/30,531.98
  6. Step 6: Final answer
    x = 23,602.35

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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.