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Finding the Fourth Proportional to 31,507.56, 47,250.36 and 9,315

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Solution

The fourth proportional to 31,507.56, 47,250.36 and 9,315 is: 13,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.56 : 47,250.36 = 9,315 : x
  2. Step 2: Convert to fraction form
    31,507.56/47,250.36 = 9,315/x
  3. Step 3: Cross multiply
    31,507.56x = 47,250.36 × 9,315
  4. Step 4: Simplify right side
    31,507.56x = 440,137,103.40
  5. Step 5: Solve for x
    x = 440,137,103.40/31,507.56
  6. Step 6: Final answer
    x = 13,969.25

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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.