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Finding the Fourth Proportional to 93,705.92, 140,529.45 and 31,361.84

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Solution

The fourth proportional to 93,705.92, 140,529.45 and 31,361.84 is: 47,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,705.92 : 140,529.45 = 31,361.84 : x
  2. Step 2: Convert to fraction form
    93,705.92/140,529.45 = 31,361.84/x
  3. Step 3: Cross multiply
    93,705.92x = 140,529.45 × 31,361.84
  4. Step 4: Simplify right side
    93,705.92x = 4,407,262,126.19
  5. Step 5: Solve for x
    x = 4,407,262,126.19/93,705.92
  6. Step 6: Final answer
    x = 47,032.91

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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.