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Finding the Fourth Proportional to 65,831.76, 90,847.73 and 35,616.98

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Solution

The fourth proportional to 65,831.76, 90,847.73 and 35,616.98 is: 49,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,831.76 : 90,847.73 = 35,616.98 : x
  2. Step 2: Convert to fraction form
    65,831.76/90,847.73 = 35,616.98/x
  3. Step 3: Cross multiply
    65,831.76x = 90,847.73 × 35,616.98
  4. Step 4: Simplify right side
    65,831.76x = 3,235,721,782.46
  5. Step 5: Solve for x
    x = 3,235,721,782.46/65,831.76
  6. Step 6: Final answer
    x = 49,151.38

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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.