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Finding the Fourth Proportional to 54,346.16, 74,998.50 and 31,684.52

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Solution

The fourth proportional to 54,346.16, 74,998.50 and 31,684.52 is: 43,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,346.16 : 74,998.50 = 31,684.52 : x
  2. Step 2: Convert to fraction form
    54,346.16/74,998.50 = 31,684.52/x
  3. Step 3: Cross multiply
    54,346.16x = 74,998.50 × 31,684.52
  4. Step 4: Simplify right side
    54,346.16x = 2,376,291,473.22
  5. Step 5: Solve for x
    x = 2,376,291,473.22/54,346.16
  6. Step 6: Final answer
    x = 43,725.10

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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.