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Finding the Fourth Proportional to 49,051.24, 67,688.67 and 27,831.67

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Solution

The fourth proportional to 49,051.24, 67,688.67 and 27,831.67 is: 38,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,051.24 : 67,688.67 = 27,831.67 : x
  2. Step 2: Convert to fraction form
    49,051.24/67,688.67 = 27,831.67/x
  3. Step 3: Cross multiply
    49,051.24x = 67,688.67 × 27,831.67
  4. Step 4: Simplify right side
    49,051.24x = 1,883,888,726.18
  5. Step 5: Solve for x
    x = 1,883,888,726.18/49,051.24
  6. Step 6: Final answer
    x = 38,406.55

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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.