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Finding the Fourth Proportional to 29,688.26, 44,528.26 and 7,500.28

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Solution

The fourth proportional to 29,688.26, 44,528.26 and 7,500.28 is: 11,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688.26 : 44,528.26 = 7,500.28 : x
  2. Step 2: Convert to fraction form
    29,688.26/44,528.26 = 7,500.28/x
  3. Step 3: Cross multiply
    29,688.26x = 44,528.26 × 7,500.28
  4. Step 4: Simplify right side
    29,688.26x = 333,974,417.91
  5. Step 5: Solve for x
    x = 333,974,417.91/29,688.26
  6. Step 6: Final answer
    x = 11,249.38

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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.