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Finding the Fourth Proportional to 68,552.80, 102,829.20 and 65,831.20

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Solution

The fourth proportional to 68,552.80, 102,829.20 and 65,831.20 is: 98,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,552.80 : 102,829.20 = 65,831.20 : x
  2. Step 2: Convert to fraction form
    68,552.80/102,829.20 = 65,831.20/x
  3. Step 3: Cross multiply
    68,552.80x = 102,829.20 × 65,831.20
  4. Step 4: Simplify right side
    68,552.80x = 6,769,369,631.04
  5. Step 5: Solve for x
    x = 6,769,369,631.04/68,552.80
  6. Step 6: Final answer
    x = 98,746.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.