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Finding the Fourth Proportional to 54,146.32, 74,722.20 and 31,498.72

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Solution

The fourth proportional to 54,146.32, 74,722.20 and 31,498.72 is: 43,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,146.32 : 74,722.20 = 31,498.72 : x
  2. Step 2: Convert to fraction form
    54,146.32/74,722.20 = 31,498.72/x
  3. Step 3: Cross multiply
    54,146.32x = 74,722.20 × 31,498.72
  4. Step 4: Simplify right side
    54,146.32x = 2,353,653,655.58
  5. Step 5: Solve for x
    x = 2,353,653,655.58/54,146.32
  6. Step 6: Final answer
    x = 43,468.40

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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.