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Finding the Fourth Proportional to 93,643.72, 140,436.30 and 31,299.64

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Solution

The fourth proportional to 93,643.72, 140,436.30 and 31,299.64 is: 46,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,643.72 : 140,436.30 = 31,299.64 : x
  2. Step 2: Convert to fraction form
    93,643.72/140,436.30 = 31,299.64/x
  3. Step 3: Cross multiply
    93,643.72x = 140,436.30 × 31,299.64
  4. Step 4: Simplify right side
    93,643.72x = 4,395,605,632.93
  5. Step 5: Solve for x
    x = 4,395,605,632.93/93,643.72
  6. Step 6: Final answer
    x = 46,939.67

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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.