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Finding the Fourth Proportional to 29,923.17, 44,883.14 and 9,146.67

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Solution

The fourth proportional to 29,923.17, 44,883.14 and 9,146.67 is: 13,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,923.17 : 44,883.14 = 9,146.67 : x
  2. Step 2: Convert to fraction form
    29,923.17/44,883.14 = 9,146.67/x
  3. Step 3: Cross multiply
    29,923.17x = 44,883.14 × 9,146.67
  4. Step 4: Simplify right side
    29,923.17x = 410,531,224.41
  5. Step 5: Solve for x
    x = 410,531,224.41/29,923.17
  6. Step 6: Final answer
    x = 13,719.51

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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.