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Finding the Fourth Proportional to 30,570.57, 45,859.94 and 12,098.25

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Solution

The fourth proportional to 30,570.57, 45,859.94 and 12,098.25 is: 18,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.57 : 45,859.94 = 12,098.25 : x
  2. Step 2: Convert to fraction form
    30,570.57/45,859.94 = 12,098.25/x
  3. Step 3: Cross multiply
    30,570.57x = 45,859.94 × 12,098.25
  4. Step 4: Simplify right side
    30,570.57x = 554,825,019.11
  5. Step 5: Solve for x
    x = 554,825,019.11/30,570.57
  6. Step 6: Final answer
    x = 18,148.99

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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.