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Finding the Fourth Proportional to 29,250.48, 43,875.62 and 9,529

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Solution

The fourth proportional to 29,250.48, 43,875.62 and 9,529 is: 14,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,250.48 : 43,875.62 = 9,529 : x
  2. Step 2: Convert to fraction form
    29,250.48/43,875.62 = 9,529/x
  3. Step 3: Cross multiply
    29,250.48x = 43,875.62 × 9,529
  4. Step 4: Simplify right side
    29,250.48x = 418,090,782.98
  5. Step 5: Solve for x
    x = 418,090,782.98/29,250.48
  6. Step 6: Final answer
    x = 14,293.47

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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.