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Finding the Fourth Proportional to 31,866.48, 47,796.36 and 8,495.28

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Solution

The fourth proportional to 31,866.48, 47,796.36 and 8,495.28 is: 12,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,866.48 : 47,796.36 = 8,495.28 : x
  2. Step 2: Convert to fraction form
    31,866.48/47,796.36 = 8,495.28/x
  3. Step 3: Cross multiply
    31,866.48x = 47,796.36 × 8,495.28
  4. Step 4: Simplify right side
    31,866.48x = 406,043,461.18
  5. Step 5: Solve for x
    x = 406,043,461.18/31,866.48
  6. Step 6: Final answer
    x = 12,742.02

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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.