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Finding the Fourth Proportional to 31,422.64, 47,122.80 and 10,357.60

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Solution

The fourth proportional to 31,422.64, 47,122.80 and 10,357.60 is: 15,532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,422.64 : 47,122.80 = 10,357.60 : x
  2. Step 2: Convert to fraction form
    31,422.64/47,122.80 = 10,357.60/x
  3. Step 3: Cross multiply
    31,422.64x = 47,122.80 × 10,357.60
  4. Step 4: Simplify right side
    31,422.64x = 488,079,113.28
  5. Step 5: Solve for x
    x = 488,079,113.28/31,422.64
  6. Step 6: Final answer
    x = 15,532.72

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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.