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Finding the Fourth Proportional to 42,082.34, 58,074.84 and 23,220.68

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Solution

The fourth proportional to 42,082.34, 58,074.84 and 23,220.68 is: 32,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,082.34 : 58,074.84 = 23,220.68 : x
  2. Step 2: Convert to fraction form
    42,082.34/58,074.84 = 23,220.68/x
  3. Step 3: Cross multiply
    42,082.34x = 58,074.84 × 23,220.68
  4. Step 4: Simplify right side
    42,082.34x = 1,348,537,275.69
  5. Step 5: Solve for x
    x = 1,348,537,275.69/42,082.34
  6. Step 6: Final answer
    x = 32,045.21

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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.