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Finding the Fourth Proportional to 31,466.16, 47,188 and 10,402.31

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Solution

The fourth proportional to 31,466.16, 47,188 and 10,402.31 is: 15,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,466.16 : 47,188 = 10,402.31 : x
  2. Step 2: Convert to fraction form
    31,466.16/47,188 = 10,402.31/x
  3. Step 3: Cross multiply
    31,466.16x = 47,188 × 10,402.31
  4. Step 4: Simplify right side
    31,466.16x = 490,864,204.28
  5. Step 5: Solve for x
    x = 490,864,204.28/31,466.16
  6. Step 6: Final answer
    x = 15,599.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.