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Finding the Fourth Proportional to 84,651.98, 116,831.63 and 52,396.94

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Solution

The fourth proportional to 84,651.98, 116,831.63 and 52,396.94 is: 72,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,651.98 : 116,831.63 = 52,396.94 : x
  2. Step 2: Convert to fraction form
    84,651.98/116,831.63 = 52,396.94/x
  3. Step 3: Cross multiply
    84,651.98x = 116,831.63 × 52,396.94
  4. Step 4: Simplify right side
    84,651.98x = 6,121,619,937.31
  5. Step 5: Solve for x
    x = 6,121,619,937.31/84,651.98
  6. Step 6: Final answer
    x = 72,315.15

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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.