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Finding the Fourth Proportional to 31,412.72, 47,119.14 and 7,720.28

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Solution

The fourth proportional to 31,412.72, 47,119.14 and 7,720.28 is: 11,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.72 : 47,119.14 = 7,720.28 : x
  2. Step 2: Convert to fraction form
    31,412.72/47,119.14 = 7,720.28/x
  3. Step 3: Cross multiply
    31,412.72x = 47,119.14 × 7,720.28
  4. Step 4: Simplify right side
    31,412.72x = 363,772,954.16
  5. Step 5: Solve for x
    x = 363,772,954.16/31,412.72
  6. Step 6: Final answer
    x = 11,580.43

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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.