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Finding the Fourth Proportional to 34,525.84, 47,642.34 and 20,189.02

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Solution

The fourth proportional to 34,525.84, 47,642.34 and 20,189.02 is: 27,858.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,525.84 : 47,642.34 = 20,189.02 : x
  2. Step 2: Convert to fraction form
    34,525.84/47,642.34 = 20,189.02/x
  3. Step 3: Cross multiply
    34,525.84x = 47,642.34 × 20,189.02
  4. Step 4: Simplify right side
    34,525.84x = 961,852,155.11
  5. Step 5: Solve for x
    x = 961,852,155.11/34,525.84
  6. Step 6: Final answer
    x = 27,858.91

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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.