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Finding the Fourth Proportional to 31,698.92, 47,538.12 and 14,181.32

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Solution

The fourth proportional to 31,698.92, 47,538.12 and 14,181.32 is: 21,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698.92 : 47,538.12 = 14,181.32 : x
  2. Step 2: Convert to fraction form
    31,698.92/47,538.12 = 14,181.32/x
  3. Step 3: Cross multiply
    31,698.92x = 47,538.12 × 14,181.32
  4. Step 4: Simplify right side
    31,698.92x = 674,153,291.92
  5. Step 5: Solve for x
    x = 674,153,291.92/31,698.92
  6. Step 6: Final answer
    x = 21,267.39

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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.