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Finding the Fourth Proportional to 29,933, 44,901.30 and 9,156.68

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Solution

The fourth proportional to 29,933, 44,901.30 and 9,156.68 is: 13,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,933 : 44,901.30 = 9,156.68 : x
  2. Step 2: Convert to fraction form
    29,933/44,901.30 = 9,156.68/x
  3. Step 3: Cross multiply
    29,933x = 44,901.30 × 9,156.68
  4. Step 4: Simplify right side
    29,933x = 411,146,835.68
  5. Step 5: Solve for x
    x = 411,146,835.68/29,933
  6. Step 6: Final answer
    x = 13,735.57

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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.