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Finding the Fourth Proportional to 29,813.51, 44,732.49 and 15,769.78

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Solution

The fourth proportional to 29,813.51, 44,732.49 and 15,769.78 is: 23,661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,813.51 : 44,732.49 = 15,769.78 : x
  2. Step 2: Convert to fraction form
    29,813.51/44,732.49 = 15,769.78/x
  3. Step 3: Cross multiply
    29,813.51x = 44,732.49 × 15,769.78
  4. Step 4: Simplify right side
    29,813.51x = 705,421,302.49
  5. Step 5: Solve for x
    x = 705,421,302.49/29,813.51
  6. Step 6: Final answer
    x = 23,661.13

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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.