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Finding the Fourth Proportional to 30,751.37, 46,127.10 and 8,564.81

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Solution

The fourth proportional to 30,751.37, 46,127.10 and 8,564.81 is: 12,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.37 : 46,127.10 = 8,564.81 : x
  2. Step 2: Convert to fraction form
    30,751.37/46,127.10 = 8,564.81/x
  3. Step 3: Cross multiply
    30,751.37x = 46,127.10 × 8,564.81
  4. Step 4: Simplify right side
    30,751.37x = 395,069,847.35
  5. Step 5: Solve for x
    x = 395,069,847.35/30,751.37
  6. Step 6: Final answer
    x = 12,847.23

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