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Finding the Fourth Proportional to 93,567.84, 140,358.87 and 31,238.34

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Solution

The fourth proportional to 93,567.84, 140,358.87 and 31,238.34 is: 46,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,567.84 : 140,358.87 = 31,238.34 : x
  2. Step 2: Convert to fraction form
    93,567.84/140,358.87 = 31,238.34/x
  3. Step 3: Cross multiply
    93,567.84x = 140,358.87 × 31,238.34
  4. Step 4: Simplify right side
    93,567.84x = 4,384,578,103.08
  5. Step 5: Solve for x
    x = 4,384,578,103.08/93,567.84
  6. Step 6: Final answer
    x = 46,859.88

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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.