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Finding the Fourth Proportional to 42,271.88, 58,337.01 and 23,409

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Solution

The fourth proportional to 42,271.88, 58,337.01 and 23,409 is: 32,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,271.88 : 58,337.01 = 23,409 : x
  2. Step 2: Convert to fraction form
    42,271.88/58,337.01 = 23,409/x
  3. Step 3: Cross multiply
    42,271.88x = 58,337.01 × 23,409
  4. Step 4: Simplify right side
    42,271.88x = 1,365,611,067.09
  5. Step 5: Solve for x
    x = 1,365,611,067.09/42,271.88
  6. Step 6: Final answer
    x = 32,305.43

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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.