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Finding the Fourth Proportional to 29,583.50, 44,376.53 and 7,396.97

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Solution

The fourth proportional to 29,583.50, 44,376.53 and 7,396.97 is: 11,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,583.50 : 44,376.53 = 7,396.97 : x
  2. Step 2: Convert to fraction form
    29,583.50/44,376.53 = 7,396.97/x
  3. Step 3: Cross multiply
    29,583.50x = 44,376.53 × 7,396.97
  4. Step 4: Simplify right side
    29,583.50x = 328,251,602.25
  5. Step 5: Solve for x
    x = 328,251,602.25/29,583.50
  6. Step 6: Final answer
    x = 11,095.77

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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.