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Finding the Fourth Proportional to 53,742.96, 74,139.48 and 46,278

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Solution

The fourth proportional to 53,742.96, 74,139.48 and 46,278 is: 63,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,742.96 : 74,139.48 = 46,278 : x
  2. Step 2: Convert to fraction form
    53,742.96/74,139.48 = 46,278/x
  3. Step 3: Cross multiply
    53,742.96x = 74,139.48 × 46,278
  4. Step 4: Simplify right side
    53,742.96x = 3,431,026,855.44
  5. Step 5: Solve for x
    x = 3,431,026,855.44/53,742.96
  6. Step 6: Final answer
    x = 63,841.42

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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.