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Finding the Fourth Proportional to 30,634.46, 45,908.92 and 16,564.15

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Solution

The fourth proportional to 30,634.46, 45,908.92 and 16,564.15 is: 24,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,634.46 : 45,908.92 = 16,564.15 : x
  2. Step 2: Convert to fraction form
    30,634.46/45,908.92 = 16,564.15/x
  3. Step 3: Cross multiply
    30,634.46x = 45,908.92 × 16,564.15
  4. Step 4: Simplify right side
    30,634.46x = 760,442,237.22
  5. Step 5: Solve for x
    x = 760,442,237.22/30,634.46
  6. Step 6: Final answer
    x = 24,823.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.