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Finding the Fourth Proportional to 30,527.47, 42,123 and 17,099.29

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Solution

The fourth proportional to 30,527.47, 42,123 and 17,099.29 is: 23,594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,527.47 : 42,123 = 17,099.29 : x
  2. Step 2: Convert to fraction form
    30,527.47/42,123 = 17,099.29/x
  3. Step 3: Cross multiply
    30,527.47x = 42,123 × 17,099.29
  4. Step 4: Simplify right side
    30,527.47x = 720,273,392.67
  5. Step 5: Solve for x
    x = 720,273,392.67/30,527.47
  6. Step 6: Final answer
    x = 23,594.27

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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.