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Finding the Fourth Proportional to 46,493.90, 64,161.52 and 27,631.02

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Solution

The fourth proportional to 46,493.90, 64,161.52 and 27,631.02 is: 38,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,493.90 : 64,161.52 = 27,631.02 : x
  2. Step 2: Convert to fraction form
    46,493.90/64,161.52 = 27,631.02/x
  3. Step 3: Cross multiply
    46,493.90x = 64,161.52 × 27,631.02
  4. Step 4: Simplify right side
    46,493.90x = 1,772,848,413.88
  5. Step 5: Solve for x
    x = 1,772,848,413.88/46,493.90
  6. Step 6: Final answer
    x = 38,130.78

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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.