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Finding the Fourth Proportional to 32,715.50, 49,072.16 and 10,530.14

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Solution

The fourth proportional to 32,715.50, 49,072.16 and 10,530.14 is: 15,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,715.50 : 49,072.16 = 10,530.14 : x
  2. Step 2: Convert to fraction form
    32,715.50/49,072.16 = 10,530.14/x
  3. Step 3: Cross multiply
    32,715.50x = 49,072.16 × 10,530.14
  4. Step 4: Simplify right side
    32,715.50x = 516,736,714.90
  5. Step 5: Solve for x
    x = 516,736,714.90/32,715.50
  6. Step 6: Final answer
    x = 15,794.86

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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.