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Finding the Fourth Proportional to 34,149, 47,138.58 and 22,977.48

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Solution

The fourth proportional to 34,149, 47,138.58 and 22,977.48 is: 31,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,149 : 47,138.58 = 22,977.48 : x
  2. Step 2: Convert to fraction form
    34,149/47,138.58 = 22,977.48/x
  3. Step 3: Cross multiply
    34,149x = 47,138.58 × 22,977.48
  4. Step 4: Simplify right side
    34,149x = 1,083,125,779.18
  5. Step 5: Solve for x
    x = 1,083,125,779.18/34,149
  6. Step 6: Final answer
    x = 31,717.64

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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.