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Finding the Fourth Proportional to 32,800.75, 49,204.06 and 14,076.59

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Solution

The fourth proportional to 32,800.75, 49,204.06 and 14,076.59 is: 21,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,800.75 : 49,204.06 = 14,076.59 : x
  2. Step 2: Convert to fraction form
    32,800.75/49,204.06 = 14,076.59/x
  3. Step 3: Cross multiply
    32,800.75x = 49,204.06 × 14,076.59
  4. Step 4: Simplify right side
    32,800.75x = 692,625,097.74
  5. Step 5: Solve for x
    x = 692,625,097.74/32,800.75
  6. Step 6: Final answer
    x = 21,116.14

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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.