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Finding the Fourth Proportional to 93,648.76, 140,474.36 and 31,319.24

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Solution

The fourth proportional to 93,648.76, 140,474.36 and 31,319.24 is: 46,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,648.76 : 140,474.36 = 31,319.24 : x
  2. Step 2: Convert to fraction form
    93,648.76/140,474.36 = 31,319.24/x
  3. Step 3: Cross multiply
    93,648.76x = 140,474.36 × 31,319.24
  4. Step 4: Simplify right side
    93,648.76x = 4,399,550,194.69
  5. Step 5: Solve for x
    x = 4,399,550,194.69/93,648.76
  6. Step 6: Final answer
    x = 46,979.27

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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.