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Finding the Fourth Proportional to 46,464, 64,116 and 27,605.76

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Solution

The fourth proportional to 46,464, 64,116 and 27,605.76 is: 38,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,464 : 64,116 = 27,605.76 : x
  2. Step 2: Convert to fraction form
    46,464/64,116 = 27,605.76/x
  3. Step 3: Cross multiply
    46,464x = 64,116 × 27,605.76
  4. Step 4: Simplify right side
    46,464x = 1,769,970,908.16
  5. Step 5: Solve for x
    x = 1,769,970,908.16/46,464
  6. Step 6: Final answer
    x = 38,093.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.