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Finding the Fourth Proportional to 41,102.21, 61,655.03 and 13,021.65

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Solution

The fourth proportional to 41,102.21, 61,655.03 and 13,021.65 is: 19,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,102.21 : 61,655.03 = 13,021.65 : x
  2. Step 2: Convert to fraction form
    41,102.21/61,655.03 = 13,021.65/x
  3. Step 3: Cross multiply
    41,102.21x = 61,655.03 × 13,021.65
  4. Step 4: Simplify right side
    41,102.21x = 802,850,221.40
  5. Step 5: Solve for x
    x = 802,850,221.40/41,102.21
  6. Step 6: Final answer
    x = 19,533.02

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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.