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Finding the Fourth Proportional to 30,488.40, 45,749.52 and 14,906.16

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Solution

The fourth proportional to 30,488.40, 45,749.52 and 14,906.16 is: 22,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488.40 : 45,749.52 = 14,906.16 : x
  2. Step 2: Convert to fraction form
    30,488.40/45,749.52 = 14,906.16/x
  3. Step 3: Cross multiply
    30,488.40x = 45,749.52 × 14,906.16
  4. Step 4: Simplify right side
    30,488.40x = 681,949,665.04
  5. Step 5: Solve for x
    x = 681,949,665.04/30,488.40
  6. Step 6: Final answer
    x = 22,367.51

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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.