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Finding the Fourth Proportional to 30,860.72, 46,242.51 and 23,857.86

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Solution

The fourth proportional to 30,860.72, 46,242.51 and 23,857.86 is: 35,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,860.72 : 46,242.51 = 23,857.86 : x
  2. Step 2: Convert to fraction form
    30,860.72/46,242.51 = 23,857.86/x
  3. Step 3: Cross multiply
    30,860.72x = 46,242.51 × 23,857.86
  4. Step 4: Simplify right side
    30,860.72x = 1,103,247,329.63
  5. Step 5: Solve for x
    x = 1,103,247,329.63/30,860.72
  6. Step 6: Final answer
    x = 35,749.24

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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.