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Finding the Fourth Proportional to 71,176.65, 106,794.65 and 31,224.34

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Solution

The fourth proportional to 71,176.65, 106,794.65 and 31,224.34 is: 46,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,176.65 : 106,794.65 = 31,224.34 : x
  2. Step 2: Convert to fraction form
    71,176.65/106,794.65 = 31,224.34/x
  3. Step 3: Cross multiply
    71,176.65x = 106,794.65 × 31,224.34
  4. Step 4: Simplify right side
    71,176.65x = 3,334,592,461.78
  5. Step 5: Solve for x
    x = 3,334,592,461.78/71,176.65
  6. Step 6: Final answer
    x = 46,849.53

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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.