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Finding the Fourth Proportional to 29,121, 43,681.50 and 7,233

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Solution

The fourth proportional to 29,121, 43,681.50 and 7,233 is: 10,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,121 : 43,681.50 = 7,233 : x
  2. Step 2: Convert to fraction form
    29,121/43,681.50 = 7,233/x
  3. Step 3: Cross multiply
    29,121x = 43,681.50 × 7,233
  4. Step 4: Simplify right side
    29,121x = 315,948,289.50
  5. Step 5: Solve for x
    x = 315,948,289.50/29,121
  6. Step 6: Final answer
    x = 10,849.50

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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.