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Finding the Fourth Proportional to 53,749.96, 74,149.14 and 46,285

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Solution

The fourth proportional to 53,749.96, 74,149.14 and 46,285 is: 63,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,749.96 : 74,149.14 = 46,285 : x
  2. Step 2: Convert to fraction form
    53,749.96/74,149.14 = 46,285/x
  3. Step 3: Cross multiply
    53,749.96x = 74,149.14 × 46,285
  4. Step 4: Simplify right side
    53,749.96x = 3,431,992,944.90
  5. Step 5: Solve for x
    x = 3,431,992,944.90/53,749.96
  6. Step 6: Final answer
    x = 63,851.08

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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.