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Finding the Fourth Proportional to 32,715.22, 49,072.84 and 10,530.33

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Solution

The fourth proportional to 32,715.22, 49,072.84 and 10,530.33 is: 15,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,715.22 : 49,072.84 = 10,530.33 : x
  2. Step 2: Convert to fraction form
    32,715.22/49,072.84 = 10,530.33/x
  3. Step 3: Cross multiply
    32,715.22x = 49,072.84 × 10,530.33
  4. Step 4: Simplify right side
    32,715.22x = 516,753,199.24
  5. Step 5: Solve for x
    x = 516,753,199.24/32,715.22
  6. Step 6: Final answer
    x = 15,795.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.