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Finding the Fourth Proportional to 30,509.72, 42,098.58 and 17,081.54

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Solution

The fourth proportional to 30,509.72, 42,098.58 and 17,081.54 is: 23,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.72 : 42,098.58 = 17,081.54 : x
  2. Step 2: Convert to fraction form
    30,509.72/42,098.58 = 17,081.54/x
  3. Step 3: Cross multiply
    30,509.72x = 42,098.58 × 17,081.54
  4. Step 4: Simplify right side
    30,509.72x = 719,108,578.21
  5. Step 5: Solve for x
    x = 719,108,578.21/30,509.72
  6. Step 6: Final answer
    x = 23,569.82

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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.