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Finding the Fourth Proportional to 98,831.97, 136,388.16 and 53,509.97

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Solution

The fourth proportional to 98,831.97, 136,388.16 and 53,509.97 is: 73,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,831.97 : 136,388.16 = 53,509.97 : x
  2. Step 2: Convert to fraction form
    98,831.97/136,388.16 = 53,509.97/x
  3. Step 3: Cross multiply
    98,831.97x = 136,388.16 × 53,509.97
  4. Step 4: Simplify right side
    98,831.97x = 7,298,125,668.01
  5. Step 5: Solve for x
    x = 7,298,125,668.01/98,831.97
  6. Step 6: Final answer
    x = 73,843.77

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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.