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Finding the Fourth Proportional to 52,243.48, 72,100.47 and 29,586.48

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Solution

The fourth proportional to 52,243.48, 72,100.47 and 29,586.48 is: 40,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,243.48 : 72,100.47 = 29,586.48 : x
  2. Step 2: Convert to fraction form
    52,243.48/72,100.47 = 29,586.48/x
  3. Step 3: Cross multiply
    52,243.48x = 72,100.47 × 29,586.48
  4. Step 4: Simplify right side
    52,243.48x = 2,133,199,113.65
  5. Step 5: Solve for x
    x = 2,133,199,113.65/52,243.48
  6. Step 6: Final answer
    x = 40,831.87

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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.