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Finding the Fourth Proportional to 53,856, 74,327.04 and 31,518.72

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Solution

The fourth proportional to 53,856, 74,327.04 and 31,518.72 is: 43,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856 : 74,327.04 = 31,518.72 : x
  2. Step 2: Convert to fraction form
    53,856/74,327.04 = 31,518.72/x
  3. Step 3: Cross multiply
    53,856x = 74,327.04 × 31,518.72
  4. Step 4: Simplify right side
    53,856x = 2,342,693,162.19
  5. Step 5: Solve for x
    x = 2,342,693,162.19/53,856
  6. Step 6: Final answer
    x = 43,499.20

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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.