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Finding the Fourth Proportional to 54,152.68, 74,720.10 and 31,494.28

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Solution

The fourth proportional to 54,152.68, 74,720.10 and 31,494.28 is: 43,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,152.68 : 74,720.10 = 31,494.28 : x
  2. Step 2: Convert to fraction form
    54,152.68/74,720.10 = 31,494.28/x
  3. Step 3: Cross multiply
    54,152.68x = 74,720.10 × 31,494.28
  4. Step 4: Simplify right side
    54,152.68x = 2,353,255,751.03
  5. Step 5: Solve for x
    x = 2,353,255,751.03/54,152.68
  6. Step 6: Final answer
    x = 43,455.94

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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.