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Finding the Fourth Proportional to 27,641.84, 41,462.76 and 10,102.10

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Solution

The fourth proportional to 27,641.84, 41,462.76 and 10,102.10 is: 15,153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.84 : 41,462.76 = 10,102.10 : x
  2. Step 2: Convert to fraction form
    27,641.84/41,462.76 = 10,102.10/x
  3. Step 3: Cross multiply
    27,641.84x = 41,462.76 × 10,102.10
  4. Step 4: Simplify right side
    27,641.84x = 418,860,740.48
  5. Step 5: Solve for x
    x = 418,860,740.48/27,641.84
  6. Step 6: Final answer
    x = 15,153.15

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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.