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Finding the Fourth Proportional to 42,083.56, 58,075.50 and 23,221.24

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Solution

The fourth proportional to 42,083.56, 58,075.50 and 23,221.24 is: 32,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,083.56 : 58,075.50 = 23,221.24 : x
  2. Step 2: Convert to fraction form
    42,083.56/58,075.50 = 23,221.24/x
  3. Step 3: Cross multiply
    42,083.56x = 58,075.50 × 23,221.24
  4. Step 4: Simplify right side
    42,083.56x = 1,348,585,123.62
  5. Step 5: Solve for x
    x = 1,348,585,123.62/42,083.56
  6. Step 6: Final answer
    x = 32,045.41

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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.