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Finding the Fourth Proportional to 42,082, 63,144.60 and 21,306.04

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Solution

The fourth proportional to 42,082, 63,144.60 and 21,306.04 is: 31,970.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,082 : 63,144.60 = 21,306.04 : x
  2. Step 2: Convert to fraction form
    42,082/63,144.60 = 21,306.04/x
  3. Step 3: Cross multiply
    42,082x = 63,144.60 × 21,306.04
  4. Step 4: Simplify right side
    42,082x = 1,345,361,373.38
  5. Step 5: Solve for x
    x = 1,345,361,373.38/42,082
  6. Step 6: Final answer
    x = 31,970.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.