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Finding the Fourth Proportional to 53,464.60, 80,024.10 and 41,714.20

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Solution

The fourth proportional to 53,464.60, 80,024.10 and 41,714.20 is: 62,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,464.60 : 80,024.10 = 41,714.20 : x
  2. Step 2: Convert to fraction form
    53,464.60/80,024.10 = 41,714.20/x
  3. Step 3: Cross multiply
    53,464.60x = 80,024.10 × 41,714.20
  4. Step 4: Simplify right side
    53,464.60x = 3,338,141,312.22
  5. Step 5: Solve for x
    x = 3,338,141,312.22/53,464.60
  6. Step 6: Final answer
    x = 62,436.48

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