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Finding the Fourth Proportional to 32,076.04, 48,112.98 and 11,299

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Solution

The fourth proportional to 32,076.04, 48,112.98 and 11,299 is: 16,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.04 : 48,112.98 = 11,299 : x
  2. Step 2: Convert to fraction form
    32,076.04/48,112.98 = 11,299/x
  3. Step 3: Cross multiply
    32,076.04x = 48,112.98 × 11,299
  4. Step 4: Simplify right side
    32,076.04x = 543,628,561.02
  5. Step 5: Solve for x
    x = 543,628,561.02/32,076.04
  6. Step 6: Final answer
    x = 16,948.12

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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.