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Finding the Fourth Proportional to 42,408, 58,523.81 and 23,289.57

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Solution

The fourth proportional to 42,408, 58,523.81 and 23,289.57 is: 32,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,408 : 58,523.81 = 23,289.57 : x
  2. Step 2: Convert to fraction form
    42,408/58,523.81 = 23,289.57/x
  3. Step 3: Cross multiply
    42,408x = 58,523.81 × 23,289.57
  4. Step 4: Simplify right side
    42,408x = 1,362,994,253.21
  5. Step 5: Solve for x
    x = 1,362,994,253.21/42,408
  6. Step 6: Final answer
    x = 32,140.03

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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.