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Finding the Fourth Proportional to 93,141.92, 139,719.36 and 30,856.16

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Solution

The fourth proportional to 93,141.92, 139,719.36 and 30,856.16 is: 46,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,141.92 : 139,719.36 = 30,856.16 : x
  2. Step 2: Convert to fraction form
    93,141.92/139,719.36 = 30,856.16/x
  3. Step 3: Cross multiply
    93,141.92x = 139,719.36 × 30,856.16
  4. Step 4: Simplify right side
    93,141.92x = 4,311,202,927.26
  5. Step 5: Solve for x
    x = 4,311,202,927.26/93,141.92
  6. Step 6: Final answer
    x = 46,286.39

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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.