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Finding the Fourth Proportional to 33,499.17, 50,256.05 and 10,125

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Solution

The fourth proportional to 33,499.17, 50,256.05 and 10,125 is: 15,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,499.17 : 50,256.05 = 10,125 : x
  2. Step 2: Convert to fraction form
    33,499.17/50,256.05 = 10,125/x
  3. Step 3: Cross multiply
    33,499.17x = 50,256.05 × 10,125
  4. Step 4: Simplify right side
    33,499.17x = 508,842,455.63
  5. Step 5: Solve for x
    x = 508,842,455.63/33,499.17
  6. Step 6: Final answer
    x = 15,189.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.