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Finding the Fourth Proportional to 98,213.28, 135,534.36 and 53,501.28

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Solution

The fourth proportional to 98,213.28, 135,534.36 and 53,501.28 is: 73,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,213.28 : 135,534.36 = 53,501.28 : x
  2. Step 2: Convert to fraction form
    98,213.28/135,534.36 = 53,501.28/x
  3. Step 3: Cross multiply
    98,213.28x = 135,534.36 × 53,501.28
  4. Step 4: Simplify right side
    98,213.28x = 7,251,261,743.98
  5. Step 5: Solve for x
    x = 7,251,261,743.98/98,213.28
  6. Step 6: Final answer
    x = 73,831.78

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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.