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Finding the Fourth Proportional to 42,269.09, 58,329.02 and 23,405

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Solution

The fourth proportional to 42,269.09, 58,329.02 and 23,405 is: 32,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,269.09 : 58,329.02 = 23,405 : x
  2. Step 2: Convert to fraction form
    42,269.09/58,329.02 = 23,405/x
  3. Step 3: Cross multiply
    42,269.09x = 58,329.02 × 23,405
  4. Step 4: Simplify right side
    42,269.09x = 1,365,190,596.08
  5. Step 5: Solve for x
    x = 1,365,190,596.08/42,269.09
  6. Step 6: Final answer
    x = 32,297.61

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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.