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Finding the Fourth Proportional to 30,720.42, 46,083.93 and 8,533.86

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Solution

The fourth proportional to 30,720.42, 46,083.93 and 8,533.86 is: 12,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,720.42 : 46,083.93 = 8,533.86 : x
  2. Step 2: Convert to fraction form
    30,720.42/46,083.93 = 8,533.86/x
  3. Step 3: Cross multiply
    30,720.42x = 46,083.93 × 8,533.86
  4. Step 4: Simplify right side
    30,720.42x = 393,273,806.87
  5. Step 5: Solve for x
    x = 393,273,806.87/30,720.42
  6. Step 6: Final answer
    x = 12,801.71

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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.