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Finding the Fourth Proportional to 31,798.98, 47,693.88 and 10,735.20

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Solution

The fourth proportional to 31,798.98, 47,693.88 and 10,735.20 is: 16,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,798.98 : 47,693.88 = 10,735.20 : x
  2. Step 2: Convert to fraction form
    31,798.98/47,693.88 = 10,735.20/x
  3. Step 3: Cross multiply
    31,798.98x = 47,693.88 × 10,735.20
  4. Step 4: Simplify right side
    31,798.98x = 512,003,340.58
  5. Step 5: Solve for x
    x = 512,003,340.58/31,798.98
  6. Step 6: Final answer
    x = 16,101.25

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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.