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Finding the Fourth Proportional to 32,901.12, 49,356.80 and 11,008

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Solution

The fourth proportional to 32,901.12, 49,356.80 and 11,008 is: 16,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901.12 : 49,356.80 = 11,008 : x
  2. Step 2: Convert to fraction form
    32,901.12/49,356.80 = 11,008/x
  3. Step 3: Cross multiply
    32,901.12x = 49,356.80 × 11,008
  4. Step 4: Simplify right side
    32,901.12x = 543,319,654.40
  5. Step 5: Solve for x
    x = 543,319,654.40/32,901.12
  6. Step 6: Final answer
    x = 16,513.71

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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.