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Finding the Fourth Proportional to 93,928.32, 140,908.32 and 31,584

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Solution

The fourth proportional to 93,928.32, 140,908.32 and 31,584 is: 47,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,928.32 : 140,908.32 = 31,584 : x
  2. Step 2: Convert to fraction form
    93,928.32/140,908.32 = 31,584/x
  3. Step 3: Cross multiply
    93,928.32x = 140,908.32 × 31,584
  4. Step 4: Simplify right side
    93,928.32x = 4,450,448,378.88
  5. Step 5: Solve for x
    x = 4,450,448,378.88/93,928.32
  6. Step 6: Final answer
    x = 47,381.33

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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.