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Finding the Fourth Proportional to 30,098.36, 41,527.50 and 17,521.40

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Solution

The fourth proportional to 30,098.36, 41,527.50 and 17,521.40 is: 24,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.36 : 41,527.50 = 17,521.40 : x
  2. Step 2: Convert to fraction form
    30,098.36/41,527.50 = 17,521.40/x
  3. Step 3: Cross multiply
    30,098.36x = 41,527.50 × 17,521.40
  4. Step 4: Simplify right side
    30,098.36x = 727,619,938.50
  5. Step 5: Solve for x
    x = 727,619,938.50/30,098.36
  6. Step 6: Final answer
    x = 24,174.74

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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.