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Finding the Fourth Proportional to 53,649, 74,035.62 and 29,779.52

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Solution

The fourth proportional to 53,649, 74,035.62 and 29,779.52 is: 41,095.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,649 : 74,035.62 = 29,779.52 : x
  2. Step 2: Convert to fraction form
    53,649/74,035.62 = 29,779.52/x
  3. Step 3: Cross multiply
    53,649x = 74,035.62 × 29,779.52
  4. Step 4: Simplify right side
    53,649x = 2,204,744,856.32
  5. Step 5: Solve for x
    x = 2,204,744,856.32/53,649
  6. Step 6: Final answer
    x = 41,095.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.