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Finding the Fourth Proportional to 30,141.30, 45,207.48 and 7,956.24

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Solution

The fourth proportional to 30,141.30, 45,207.48 and 7,956.24 is: 11,933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,141.30 : 45,207.48 = 7,956.24 : x
  2. Step 2: Convert to fraction form
    30,141.30/45,207.48 = 7,956.24/x
  3. Step 3: Cross multiply
    30,141.30x = 45,207.48 × 7,956.24
  4. Step 4: Simplify right side
    30,141.30x = 359,681,560.68
  5. Step 5: Solve for x
    x = 359,681,560.68/30,141.30
  6. Step 6: Final answer
    x = 11,933.18

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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.