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Finding the Fourth Proportional to 96,852.33, 133,653.06 and 53,831.61

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Solution

The fourth proportional to 96,852.33, 133,653.06 and 53,831.61 is: 74,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,852.33 : 133,653.06 = 53,831.61 : x
  2. Step 2: Convert to fraction form
    96,852.33/133,653.06 = 53,831.61/x
  3. Step 3: Cross multiply
    96,852.33x = 133,653.06 × 53,831.61
  4. Step 4: Simplify right side
    96,852.33x = 7,194,759,401.23
  5. Step 5: Solve for x
    x = 7,194,759,401.23/96,852.33
  6. Step 6: Final answer
    x = 74,285.87

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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.