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Finding the Fourth Proportional to 54,078.06, 74,627.28 and 31,430.31

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Solution

The fourth proportional to 54,078.06, 74,627.28 and 31,430.31 is: 43,373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,078.06 : 74,627.28 = 31,430.31 : x
  2. Step 2: Convert to fraction form
    54,078.06/74,627.28 = 31,430.31/x
  3. Step 3: Cross multiply
    54,078.06x = 74,627.28 × 31,430.31
  4. Step 4: Simplify right side
    54,078.06x = 2,345,558,544.86
  5. Step 5: Solve for x
    x = 2,345,558,544.86/54,078.06
  6. Step 6: Final answer
    x = 43,373.57

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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.