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Finding the Fourth Proportional to 30,098.52, 41,536.32 and 17,523

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Solution

The fourth proportional to 30,098.52, 41,536.32 and 17,523 is: 24,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.52 : 41,536.32 = 17,523 : x
  2. Step 2: Convert to fraction form
    30,098.52/41,536.32 = 17,523/x
  3. Step 3: Cross multiply
    30,098.52x = 41,536.32 × 17,523
  4. Step 4: Simplify right side
    30,098.52x = 727,840,935.36
  5. Step 5: Solve for x
    x = 727,840,935.36/30,098.52
  6. Step 6: Final answer
    x = 24,181.95

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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.