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Finding the Fourth Proportional to 73,447.89, 101,320.77 and 47,969.16

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Solution

The fourth proportional to 73,447.89, 101,320.77 and 47,969.16 is: 66,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,447.89 : 101,320.77 = 47,969.16 : x
  2. Step 2: Convert to fraction form
    73,447.89/101,320.77 = 47,969.16/x
  3. Step 3: Cross multiply
    73,447.89x = 101,320.77 × 47,969.16
  4. Step 4: Simplify right side
    73,447.89x = 4,860,272,787.29
  5. Step 5: Solve for x
    x = 4,860,272,787.29/73,447.89
  6. Step 6: Final answer
    x = 66,173.08

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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.