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Finding the Fourth Proportional to 93,504.64, 140,205.12 and 31,141.12

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Solution

The fourth proportional to 93,504.64, 140,205.12 and 31,141.12 is: 46,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,504.64 : 140,205.12 = 31,141.12 : x
  2. Step 2: Convert to fraction form
    93,504.64/140,205.12 = 31,141.12/x
  3. Step 3: Cross multiply
    93,504.64x = 140,205.12 × 31,141.12
  4. Step 4: Simplify right side
    93,504.64x = 4,366,144,466.53
  5. Step 5: Solve for x
    x = 4,366,144,466.53/93,504.64
  6. Step 6: Final answer
    x = 46,694.42

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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.