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Finding the Fourth Proportional to 51,812.66, 71,501.47 and 29,456.66

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Solution

The fourth proportional to 51,812.66, 71,501.47 and 29,456.66 is: 40,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,812.66 : 71,501.47 = 29,456.66 : x
  2. Step 2: Convert to fraction form
    51,812.66/71,501.47 = 29,456.66/x
  3. Step 3: Cross multiply
    51,812.66x = 71,501.47 × 29,456.66
  4. Step 4: Simplify right side
    51,812.66x = 2,106,193,986.50
  5. Step 5: Solve for x
    x = 2,106,193,986.50/51,812.66
  6. Step 6: Final answer
    x = 40,650.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.