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Finding the Fourth Proportional to 29,768.50, 44,661.80 and 10,045.41

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Solution

The fourth proportional to 29,768.50, 44,661.80 and 10,045.41 is: 15,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,768.50 : 44,661.80 = 10,045.41 : x
  2. Step 2: Convert to fraction form
    29,768.50/44,661.80 = 10,045.41/x
  3. Step 3: Cross multiply
    29,768.50x = 44,661.80 × 10,045.41
  4. Step 4: Simplify right side
    29,768.50x = 448,646,092.34
  5. Step 5: Solve for x
    x = 448,646,092.34/29,768.50
  6. Step 6: Final answer
    x = 15,071.17

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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.