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Finding the Fourth Proportional to 44,315.22, 61,177.58 and 34,221

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Solution

The fourth proportional to 44,315.22, 61,177.58 and 34,221 is: 47,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,315.22 : 61,177.58 = 34,221 : x
  2. Step 2: Convert to fraction form
    44,315.22/61,177.58 = 34,221/x
  3. Step 3: Cross multiply
    44,315.22x = 61,177.58 × 34,221
  4. Step 4: Simplify right side
    44,315.22x = 2,093,557,794.08
  5. Step 5: Solve for x
    x = 2,093,557,794.08/44,315.22
  6. Step 6: Final answer
    x = 47,242.41

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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.