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Finding the Fourth Proportional to 117,905.40, 176,931 and 47,785.32

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Solution

The fourth proportional to 117,905.40, 176,931 and 47,785.32 is: 71,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,905.40 : 176,931 = 47,785.32 : x
  2. Step 2: Convert to fraction form
    117,905.40/176,931 = 47,785.32/x
  3. Step 3: Cross multiply
    117,905.40x = 176,931 × 47,785.32
  4. Step 4: Simplify right side
    117,905.40x = 8,454,704,452.92
  5. Step 5: Solve for x
    x = 8,454,704,452.92/117,905.40
  6. Step 6: Final answer
    x = 71,707.53

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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.