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Finding the Fourth Proportional to 93,175.50, 139,785.12 and 30,846

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Solution

The fourth proportional to 93,175.50, 139,785.12 and 30,846 is: 46,276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,175.50 : 139,785.12 = 30,846 : x
  2. Step 2: Convert to fraction form
    93,175.50/139,785.12 = 30,846/x
  3. Step 3: Cross multiply
    93,175.50x = 139,785.12 × 30,846
  4. Step 4: Simplify right side
    93,175.50x = 4,311,811,811.52
  5. Step 5: Solve for x
    x = 4,311,811,811.52/93,175.50
  6. Step 6: Final answer
    x = 46,276.24

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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.