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Finding the Fourth Proportional to 54,497.60, 81,645.60 and 31,054.40

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Solution

The fourth proportional to 54,497.60, 81,645.60 and 31,054.40 is: 46,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,497.60 : 81,645.60 = 31,054.40 : x
  2. Step 2: Convert to fraction form
    54,497.60/81,645.60 = 31,054.40/x
  3. Step 3: Cross multiply
    54,497.60x = 81,645.60 × 31,054.40
  4. Step 4: Simplify right side
    54,497.60x = 2,535,455,120.64
  5. Step 5: Solve for x
    x = 2,535,455,120.64/54,497.60
  6. Step 6: Final answer
    x = 46,524.16

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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.