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Finding the Fourth Proportional to 30,749.52, 46,125.50 and 8,564.84

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Solution

The fourth proportional to 30,749.52, 46,125.50 and 8,564.84 is: 12,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,749.52 : 46,125.50 = 8,564.84 : x
  2. Step 2: Convert to fraction form
    30,749.52/46,125.50 = 8,564.84/x
  3. Step 3: Cross multiply
    30,749.52x = 46,125.50 × 8,564.84
  4. Step 4: Simplify right side
    30,749.52x = 395,057,475.12
  5. Step 5: Solve for x
    x = 395,057,475.12/30,749.52
  6. Step 6: Final answer
    x = 12,847.60

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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.