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Finding the Fourth Proportional to 46,410.24, 64,046.19 and 25,189.50

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Solution

The fourth proportional to 46,410.24, 64,046.19 and 25,189.50 is: 34,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410.24 : 64,046.19 = 25,189.50 : x
  2. Step 2: Convert to fraction form
    46,410.24/64,046.19 = 25,189.50/x
  3. Step 3: Cross multiply
    46,410.24x = 64,046.19 × 25,189.50
  4. Step 4: Simplify right side
    46,410.24x = 1,613,291,377.06
  5. Step 5: Solve for x
    x = 1,613,291,377.06/46,410.24
  6. Step 6: Final answer
    x = 34,761.54

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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.