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Finding the Fourth Proportional to 93,471.92, 140,091.24 and 46,738.16

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Solution

The fourth proportional to 93,471.92, 140,091.24 and 46,738.16 is: 70,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,471.92 : 140,091.24 = 46,738.16 : x
  2. Step 2: Convert to fraction form
    93,471.92/140,091.24 = 46,738.16/x
  3. Step 3: Cross multiply
    93,471.92x = 140,091.24 × 46,738.16
  4. Step 4: Simplify right side
    93,471.92x = 6,547,606,789.72
  5. Step 5: Solve for x
    x = 6,547,606,789.72/93,471.92
  6. Step 6: Final answer
    x = 70,048.92

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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.