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Finding the Fourth Proportional to 100,457.33, 138,632.55 and 55,134.48

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Solution

The fourth proportional to 100,457.33, 138,632.55 and 55,134.48 is: 76,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,457.33 : 138,632.55 = 55,134.48 : x
  2. Step 2: Convert to fraction form
    100,457.33/138,632.55 = 55,134.48/x
  3. Step 3: Cross multiply
    100,457.33x = 138,632.55 × 55,134.48
  4. Step 4: Simplify right side
    100,457.33x = 7,643,433,868.44
  5. Step 5: Solve for x
    x = 7,643,433,868.44/100,457.33
  6. Step 6: Final answer
    x = 76,086.38

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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.