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Finding the Fourth Proportional to 32,765.58, 49,131.09 and 14,287.50

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Solution

The fourth proportional to 32,765.58, 49,131.09 and 14,287.50 is: 21,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765.58 : 49,131.09 = 14,287.50 : x
  2. Step 2: Convert to fraction form
    32,765.58/49,131.09 = 14,287.50/x
  3. Step 3: Cross multiply
    32,765.58x = 49,131.09 × 14,287.50
  4. Step 4: Simplify right side
    32,765.58x = 701,960,448.38
  5. Step 5: Solve for x
    x = 701,960,448.38/32,765.58
  6. Step 6: Final answer
    x = 21,423.72

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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.