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Finding the Fourth Proportional to 29,546.52, 44,320.16 and 9,825.07

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Solution

The fourth proportional to 29,546.52, 44,320.16 and 9,825.07 is: 14,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546.52 : 44,320.16 = 9,825.07 : x
  2. Step 2: Convert to fraction form
    29,546.52/44,320.16 = 9,825.07/x
  3. Step 3: Cross multiply
    29,546.52x = 44,320.16 × 9,825.07
  4. Step 4: Simplify right side
    29,546.52x = 435,448,674.41
  5. Step 5: Solve for x
    x = 435,448,674.41/29,546.52
  6. Step 6: Final answer
    x = 14,737.73

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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.