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Finding the Fourth Proportional to 29,871.80, 44,802.78 and 11,146.94

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Solution

The fourth proportional to 29,871.80, 44,802.78 and 11,146.94 is: 16,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,871.80 : 44,802.78 = 11,146.94 : x
  2. Step 2: Convert to fraction form
    29,871.80/44,802.78 = 11,146.94/x
  3. Step 3: Cross multiply
    29,871.80x = 44,802.78 × 11,146.94
  4. Step 4: Simplify right side
    29,871.80x = 499,413,900.49
  5. Step 5: Solve for x
    x = 499,413,900.49/29,871.80
  6. Step 6: Final answer
    x = 16,718.57

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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.