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Finding the Fourth Proportional to 29,433, 44,149.50 and 7,545

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Solution

The fourth proportional to 29,433, 44,149.50 and 7,545 is: 11,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,433 : 44,149.50 = 7,545 : x
  2. Step 2: Convert to fraction form
    29,433/44,149.50 = 7,545/x
  3. Step 3: Cross multiply
    29,433x = 44,149.50 × 7,545
  4. Step 4: Simplify right side
    29,433x = 333,107,977.50
  5. Step 5: Solve for x
    x = 333,107,977.50/29,433
  6. Step 6: Final answer
    x = 11,317.50

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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.