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Finding the Fourth Proportional to 29,815.09, 44,724 and 21,088.96

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Solution

The fourth proportional to 29,815.09, 44,724 and 21,088.96 is: 31,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,815.09 : 44,724 = 21,088.96 : x
  2. Step 2: Convert to fraction form
    29,815.09/44,724 = 21,088.96/x
  3. Step 3: Cross multiply
    29,815.09x = 44,724 × 21,088.96
  4. Step 4: Simplify right side
    29,815.09x = 943,182,647.04
  5. Step 5: Solve for x
    x = 943,182,647.04/29,815.09
  6. Step 6: Final answer
    x = 31,634.41

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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.