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Finding the Fourth Proportional to 42,647.50, 58,853.55 and 23,784.22

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Solution

The fourth proportional to 42,647.50, 58,853.55 and 23,784.22 is: 32,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,647.50 : 58,853.55 = 23,784.22 : x
  2. Step 2: Convert to fraction form
    42,647.50/58,853.55 = 23,784.22/x
  3. Step 3: Cross multiply
    42,647.50x = 58,853.55 × 23,784.22
  4. Step 4: Simplify right side
    42,647.50x = 1,399,785,780.98
  5. Step 5: Solve for x
    x = 1,399,785,780.98/42,647.50
  6. Step 6: Final answer
    x = 32,822.22

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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.