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Finding the Fourth Proportional to 54,126.32, 74,697.82 and 30,254.00

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Solution

The fourth proportional to 54,126.32, 74,697.82 and 30,254.00 is: 41,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,126.32 : 74,697.82 = 30,254.00 : x
  2. Step 2: Convert to fraction form
    54,126.32/74,697.82 = 30,254.00/x
  3. Step 3: Cross multiply
    54,126.32x = 74,697.82 × 30,254.00
  4. Step 4: Simplify right side
    54,126.32x = 2,259,907,397.16
  5. Step 5: Solve for x
    x = 2,259,907,397.16/54,126.32
  6. Step 6: Final answer
    x = 41,752.47

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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.