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Finding the Fourth Proportional to 32,894.74, 49,349.40 and 15,355

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Solution

The fourth proportional to 32,894.74, 49,349.40 and 15,355 is: 23,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,894.74 : 49,349.40 = 15,355 : x
  2. Step 2: Convert to fraction form
    32,894.74/49,349.40 = 15,355/x
  3. Step 3: Cross multiply
    32,894.74x = 49,349.40 × 15,355
  4. Step 4: Simplify right side
    32,894.74x = 757,760,037
  5. Step 5: Solve for x
    x = 757,760,037/32,894.74
  6. Step 6: Final answer
    x = 23,035.90

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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.