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Finding the Fourth Proportional to 29,546.63, 44,320.34 and 9,825.19

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Solution

The fourth proportional to 29,546.63, 44,320.34 and 9,825.19 is: 14,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546.63 : 44,320.34 = 9,825.19 : x
  2. Step 2: Convert to fraction form
    29,546.63/44,320.34 = 9,825.19/x
  3. Step 3: Cross multiply
    29,546.63x = 44,320.34 × 9,825.19
  4. Step 4: Simplify right side
    29,546.63x = 435,455,712.24
  5. Step 5: Solve for x
    x = 435,455,712.24/29,546.63
  6. Step 6: Final answer
    x = 14,737.91

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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.