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Finding the Fourth Proportional to 61,378.74, 84,714.30 and 38,419.21

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Solution

The fourth proportional to 61,378.74, 84,714.30 and 38,419.21 is: 53,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,378.74 : 84,714.30 = 38,419.21 : x
  2. Step 2: Convert to fraction form
    61,378.74/84,714.30 = 38,419.21/x
  3. Step 3: Cross multiply
    61,378.74x = 84,714.30 × 38,419.21
  4. Step 4: Simplify right side
    61,378.74x = 3,254,656,481.70
  5. Step 5: Solve for x
    x = 3,254,656,481.70/61,378.74
  6. Step 6: Final answer
    x = 53,025.80

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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.