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Finding the Fourth Proportional to 31,375.68, 47,070.52 and 10,598.64

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Solution

The fourth proportional to 31,375.68, 47,070.52 and 10,598.64 is: 15,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375.68 : 47,070.52 = 10,598.64 : x
  2. Step 2: Convert to fraction form
    31,375.68/47,070.52 = 10,598.64/x
  3. Step 3: Cross multiply
    31,375.68x = 47,070.52 × 10,598.64
  4. Step 4: Simplify right side
    31,375.68x = 498,883,496.09
  5. Step 5: Solve for x
    x = 498,883,496.09/31,375.68
  6. Step 6: Final answer
    x = 15,900.32

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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.