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Finding the Fourth Proportional to 29,454.84, 44,177.94 and 9,733.68

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Solution

The fourth proportional to 29,454.84, 44,177.94 and 9,733.68 is: 14,599.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,454.84 : 44,177.94 = 9,733.68 : x
  2. Step 2: Convert to fraction form
    29,454.84/44,177.94 = 9,733.68/x
  3. Step 3: Cross multiply
    29,454.84x = 44,177.94 × 9,733.68
  4. Step 4: Simplify right side
    29,454.84x = 430,013,931.02
  5. Step 5: Solve for x
    x = 430,013,931.02/29,454.84
  6. Step 6: Final answer
    x = 14,599.09

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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.