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Finding the Fourth Proportional to 27,602.33, 41,404.18 and 10,072.16

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Solution

The fourth proportional to 27,602.33, 41,404.18 and 10,072.16 is: 15,108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.33 : 41,404.18 = 10,072.16 : x
  2. Step 2: Convert to fraction form
    27,602.33/41,404.18 = 10,072.16/x
  3. Step 3: Cross multiply
    27,602.33x = 41,404.18 × 10,072.16
  4. Step 4: Simplify right side
    27,602.33x = 417,029,525.63
  5. Step 5: Solve for x
    x = 417,029,525.63/27,602.33
  6. Step 6: Final answer
    x = 15,108.49

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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.