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Finding the Fourth Proportional to 46,047.42, 69,093 and 23,856.66

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Solution

The fourth proportional to 46,047.42, 69,093 and 23,856.66 is: 35,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,047.42 : 69,093 = 23,856.66 : x
  2. Step 2: Convert to fraction form
    46,047.42/69,093 = 23,856.66/x
  3. Step 3: Cross multiply
    46,047.42x = 69,093 × 23,856.66
  4. Step 4: Simplify right side
    46,047.42x = 1,648,328,209.38
  5. Step 5: Solve for x
    x = 1,648,328,209.38/46,047.42
  6. Step 6: Final answer
    x = 35,796.32

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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.