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Finding the Fourth Proportional to 29,956, 44,933.80 and 7,769.32

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Solution

The fourth proportional to 29,956, 44,933.80 and 7,769.32 is: 11,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,956 : 44,933.80 = 7,769.32 : x
  2. Step 2: Convert to fraction form
    29,956/44,933.80 = 7,769.32/x
  3. Step 3: Cross multiply
    29,956x = 44,933.80 × 7,769.32
  4. Step 4: Simplify right side
    29,956x = 349,105,071.02
  5. Step 5: Solve for x
    x = 349,105,071.02/29,956
  6. Step 6: Final answer
    x = 11,653.93

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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.