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Finding the Fourth Proportional to 29,537.40, 44,306 and 7,350.78

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Solution

The fourth proportional to 29,537.40, 44,306 and 7,350.78 is: 11,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,537.40 : 44,306 = 7,350.78 : x
  2. Step 2: Convert to fraction form
    29,537.40/44,306 = 7,350.78/x
  3. Step 3: Cross multiply
    29,537.40x = 44,306 × 7,350.78
  4. Step 4: Simplify right side
    29,537.40x = 325,683,658.68
  5. Step 5: Solve for x
    x = 325,683,658.68/29,537.40
  6. Step 6: Final answer
    x = 11,026.15

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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.