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Finding the Fourth Proportional to 29,288.94, 43,933.02 and 7,102.52

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Solution

The fourth proportional to 29,288.94, 43,933.02 and 7,102.52 is: 10,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,288.94 : 43,933.02 = 7,102.52 : x
  2. Step 2: Convert to fraction form
    29,288.94/43,933.02 = 7,102.52/x
  3. Step 3: Cross multiply
    29,288.94x = 43,933.02 × 7,102.52
  4. Step 4: Simplify right side
    29,288.94x = 312,035,153.21
  5. Step 5: Solve for x
    x = 312,035,153.21/29,288.94
  6. Step 6: Final answer
    x = 10,653.69

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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.