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Finding the Fourth Proportional to 29,378.97, 44,071.29 and 9,652.77

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Solution

The fourth proportional to 29,378.97, 44,071.29 and 9,652.77 is: 14,480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,378.97 : 44,071.29 = 9,652.77 : x
  2. Step 2: Convert to fraction form
    29,378.97/44,071.29 = 9,652.77/x
  3. Step 3: Cross multiply
    29,378.97x = 44,071.29 × 9,652.77
  4. Step 4: Simplify right side
    29,378.97x = 425,410,025.97
  5. Step 5: Solve for x
    x = 425,410,025.97/29,378.97
  6. Step 6: Final answer
    x = 14,480.09

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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.