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Finding the Fourth Proportional to 42,700.84, 64,082.72 and 20,527

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Solution

The fourth proportional to 42,700.84, 64,082.72 and 20,527 is: 30,805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,700.84 : 64,082.72 = 20,527 : x
  2. Step 2: Convert to fraction form
    42,700.84/64,082.72 = 20,527/x
  3. Step 3: Cross multiply
    42,700.84x = 64,082.72 × 20,527
  4. Step 4: Simplify right side
    42,700.84x = 1,315,425,993.44
  5. Step 5: Solve for x
    x = 1,315,425,993.44/42,700.84
  6. Step 6: Final answer
    x = 30,805.62

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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.