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Finding the Fourth Proportional to 29,900.86, 44,850.17 and 7,411.61

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Solution

The fourth proportional to 29,900.86, 44,850.17 and 7,411.61 is: 11,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,900.86 : 44,850.17 = 7,411.61 : x
  2. Step 2: Convert to fraction form
    29,900.86/44,850.17 = 7,411.61/x
  3. Step 3: Cross multiply
    29,900.86x = 44,850.17 × 7,411.61
  4. Step 4: Simplify right side
    29,900.86x = 332,411,968.47
  5. Step 5: Solve for x
    x = 332,411,968.47/29,900.86
  6. Step 6: Final answer
    x = 11,117.14

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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.