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Finding the Fourth Proportional to 117,728, 176,573.04 and 32,318.92

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Solution

The fourth proportional to 117,728, 176,573.04 and 32,318.92 is: 48,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,728 : 176,573.04 = 32,318.92 : x
  2. Step 2: Convert to fraction form
    117,728/176,573.04 = 32,318.92/x
  3. Step 3: Cross multiply
    117,728x = 176,573.04 × 32,318.92
  4. Step 4: Simplify right side
    117,728x = 5,706,649,953.92
  5. Step 5: Solve for x
    x = 5,706,649,953.92/117,728
  6. Step 6: Final answer
    x = 48,473.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.