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Finding the Fourth Proportional to 29,321, 43,981.50 and 7,433

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Solution

The fourth proportional to 29,321, 43,981.50 and 7,433 is: 11,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,321 : 43,981.50 = 7,433 : x
  2. Step 2: Convert to fraction form
    29,321/43,981.50 = 7,433/x
  3. Step 3: Cross multiply
    29,321x = 43,981.50 × 7,433
  4. Step 4: Simplify right side
    29,321x = 326,914,489.50
  5. Step 5: Solve for x
    x = 326,914,489.50/29,321
  6. Step 6: Final answer
    x = 11,149.50

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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.