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Finding the Fourth Proportional to 31,607.16, 47,412.90 and 10,546.44

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Solution

The fourth proportional to 31,607.16, 47,412.90 and 10,546.44 is: 15,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607.16 : 47,412.90 = 10,546.44 : x
  2. Step 2: Convert to fraction form
    31,607.16/47,412.90 = 10,546.44/x
  3. Step 3: Cross multiply
    31,607.16x = 47,412.90 × 10,546.44
  4. Step 4: Simplify right side
    31,607.16x = 500,037,305.08
  5. Step 5: Solve for x
    x = 500,037,305.08/31,607.16
  6. Step 6: Final answer
    x = 15,820.38

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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.