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Finding the Fourth Proportional to 31,483.17, 47,213.41 and 10,419.32

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Solution

The fourth proportional to 31,483.17, 47,213.41 and 10,419.32 is: 15,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,483.17 : 47,213.41 = 10,419.32 : x
  2. Step 2: Convert to fraction form
    31,483.17/47,213.41 = 10,419.32/x
  3. Step 3: Cross multiply
    31,483.17x = 47,213.41 × 10,419.32
  4. Step 4: Simplify right side
    31,483.17x = 491,931,627.08
  5. Step 5: Solve for x
    x = 491,931,627.08/31,483.17
  6. Step 6: Final answer
    x = 15,625.23

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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.