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Finding the Fourth Proportional to 30,723.13, 46,087.25 and 8,237.01

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Solution

The fourth proportional to 30,723.13, 46,087.25 and 8,237.01 is: 12,356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,723.13 : 46,087.25 = 8,237.01 : x
  2. Step 2: Convert to fraction form
    30,723.13/46,087.25 = 8,237.01/x
  3. Step 3: Cross multiply
    30,723.13x = 46,087.25 × 8,237.01
  4. Step 4: Simplify right side
    30,723.13x = 379,620,867.50
  5. Step 5: Solve for x
    x = 379,620,867.50/30,723.13
  6. Step 6: Final answer
    x = 12,356.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.