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Finding the Fourth Proportional to 29,641.82, 40,945.65 and 23,715.86

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Solution

The fourth proportional to 29,641.82, 40,945.65 and 23,715.86 is: 32,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,641.82 : 40,945.65 = 23,715.86 : x
  2. Step 2: Convert to fraction form
    29,641.82/40,945.65 = 23,715.86/x
  3. Step 3: Cross multiply
    29,641.82x = 40,945.65 × 23,715.86
  4. Step 4: Simplify right side
    29,641.82x = 971,061,303.01
  5. Step 5: Solve for x
    x = 971,061,303.01/29,641.82
  6. Step 6: Final answer
    x = 32,759.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.