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Finding the Fourth Proportional to 46,414.25, 64,051.71 and 25,193.51

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Solution

The fourth proportional to 46,414.25, 64,051.71 and 25,193.51 is: 34,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,414.25 : 64,051.71 = 25,193.51 : x
  2. Step 2: Convert to fraction form
    46,414.25/64,051.71 = 25,193.51/x
  3. Step 3: Cross multiply
    46,414.25x = 64,051.71 × 25,193.51
  4. Step 4: Simplify right side
    46,414.25x = 1,613,687,396.40
  5. Step 5: Solve for x
    x = 1,613,687,396.40/46,414.25
  6. Step 6: Final answer
    x = 34,767.07

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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.