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Finding the Fourth Proportional to 54,745.76, 82,117.68 and 29,779.88

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Solution

The fourth proportional to 54,745.76, 82,117.68 and 29,779.88 is: 44,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,745.76 : 82,117.68 = 29,779.88 : x
  2. Step 2: Convert to fraction form
    54,745.76/82,117.68 = 29,779.88/x
  3. Step 3: Cross multiply
    54,745.76x = 82,117.68 × 29,779.88
  4. Step 4: Simplify right side
    54,745.76x = 2,445,454,656.28
  5. Step 5: Solve for x
    x = 2,445,454,656.28/54,745.76
  6. Step 6: Final answer
    x = 44,669.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.