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Finding the Fourth Proportional to 46,415.89, 64,054 and 25,195.17

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Solution

The fourth proportional to 46,415.89, 64,054 and 25,195.17 is: 34,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,415.89 : 64,054 = 25,195.17 : x
  2. Step 2: Convert to fraction form
    46,415.89/64,054 = 25,195.17/x
  3. Step 3: Cross multiply
    46,415.89x = 64,054 × 25,195.17
  4. Step 4: Simplify right side
    46,415.89x = 1,613,851,419.18
  5. Step 5: Solve for x
    x = 1,613,851,419.18/46,415.89
  6. Step 6: Final answer
    x = 34,769.37

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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.