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Finding the Fourth Proportional to 93,542.32, 140,320.72 and 31,212.72

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Solution

The fourth proportional to 93,542.32, 140,320.72 and 31,212.72 is: 46,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,542.32 : 140,320.72 = 31,212.72 : x
  2. Step 2: Convert to fraction form
    93,542.32/140,320.72 = 31,212.72/x
  3. Step 3: Cross multiply
    93,542.32x = 140,320.72 × 31,212.72
  4. Step 4: Simplify right side
    93,542.32x = 4,379,791,343.56
  5. Step 5: Solve for x
    x = 4,379,791,343.56/93,542.32
  6. Step 6: Final answer
    x = 46,821.50

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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.