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Finding the Fourth Proportional to 39,106.74, 53,970.41 and 22,114.56

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Solution

The fourth proportional to 39,106.74, 53,970.41 and 22,114.56 is: 30,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,106.74 : 53,970.41 = 22,114.56 : x
  2. Step 2: Convert to fraction form
    39,106.74/53,970.41 = 22,114.56/x
  3. Step 3: Cross multiply
    39,106.74x = 53,970.41 × 22,114.56
  4. Step 4: Simplify right side
    39,106.74x = 1,193,531,870.17
  5. Step 5: Solve for x
    x = 1,193,531,870.17/39,106.74
  6. Step 6: Final answer
    x = 30,519.85

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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.