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Finding the Fourth Proportional to 86,625, 119,542.50 and 46,881

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Solution

The fourth proportional to 86,625, 119,542.50 and 46,881 is: 64,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,625 : 119,542.50 = 46,881 : x
  2. Step 2: Convert to fraction form
    86,625/119,542.50 = 46,881/x
  3. Step 3: Cross multiply
    86,625x = 119,542.50 × 46,881
  4. Step 4: Simplify right side
    86,625x = 5,604,271,942.50
  5. Step 5: Solve for x
    x = 5,604,271,942.50/86,625
  6. Step 6: Final answer
    x = 64,695.78

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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.