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Finding the Fourth Proportional to 100,412.54, 138,570.71 and 55,089.69

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Solution

The fourth proportional to 100,412.54, 138,570.71 and 55,089.69 is: 76,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,412.54 : 138,570.71 = 55,089.69 : x
  2. Step 2: Convert to fraction form
    100,412.54/138,570.71 = 55,089.69/x
  3. Step 3: Cross multiply
    100,412.54x = 138,570.71 × 55,089.69
  4. Step 4: Simplify right side
    100,412.54x = 7,633,818,218.43
  5. Step 5: Solve for x
    x = 7,633,818,218.43/100,412.54
  6. Step 6: Final answer
    x = 76,024.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.