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Finding the Fourth Proportional to 54,345.60, 74,985.60 and 31,977.60

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Solution

The fourth proportional to 54,345.60, 74,985.60 and 31,977.60 is: 44,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,345.60 : 74,985.60 = 31,977.60 : x
  2. Step 2: Convert to fraction form
    54,345.60/74,985.60 = 31,977.60/x
  3. Step 3: Cross multiply
    54,345.60x = 74,985.60 × 31,977.60
  4. Step 4: Simplify right side
    54,345.60x = 2,397,859,522.56
  5. Step 5: Solve for x
    x = 2,397,859,522.56/54,345.60
  6. Step 6: Final answer
    x = 44,122.42

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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.