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Finding the Fourth Proportional to 30,148.13, 45,221.49 and 7,963.06

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Solution

The fourth proportional to 30,148.13, 45,221.49 and 7,963.06 is: 11,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,148.13 : 45,221.49 = 7,963.06 : x
  2. Step 2: Convert to fraction form
    30,148.13/45,221.49 = 7,963.06/x
  3. Step 3: Cross multiply
    30,148.13x = 45,221.49 × 7,963.06
  4. Step 4: Simplify right side
    30,148.13x = 360,101,438.16
  5. Step 5: Solve for x
    x = 360,101,438.16/30,148.13
  6. Step 6: Final answer
    x = 11,944.40

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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.