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Finding the Fourth Proportional to 42,325, 58,408.50 and 23,465

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Solution

The fourth proportional to 42,325, 58,408.50 and 23,465 is: 32,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,325 : 58,408.50 = 23,465 : x
  2. Step 2: Convert to fraction form
    42,325/58,408.50 = 23,465/x
  3. Step 3: Cross multiply
    42,325x = 58,408.50 × 23,465
  4. Step 4: Simplify right side
    42,325x = 1,370,555,452.50
  5. Step 5: Solve for x
    x = 1,370,555,452.50/42,325
  6. Step 6: Final answer
    x = 32,381.70

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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.