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Finding the Fourth Proportional to 83,556.96, 115,308.80 and 45,831.36

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Solution

The fourth proportional to 83,556.96, 115,308.80 and 45,831.36 is: 63,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,556.96 : 115,308.80 = 45,831.36 : x
  2. Step 2: Convert to fraction form
    83,556.96/115,308.80 = 45,831.36/x
  3. Step 3: Cross multiply
    83,556.96x = 115,308.80 × 45,831.36
  4. Step 4: Simplify right side
    83,556.96x = 5,284,759,123.97
  5. Step 5: Solve for x
    x = 5,284,759,123.97/83,556.96
  6. Step 6: Final answer
    x = 63,247.38

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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.