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Finding the Fourth Proportional to 42,768, 64,178.73 and 20,583.72

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Solution

The fourth proportional to 42,768, 64,178.73 and 20,583.72 is: 30,888.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,768 : 64,178.73 = 20,583.72 : x
  2. Step 2: Convert to fraction form
    42,768/64,178.73 = 20,583.72/x
  3. Step 3: Cross multiply
    42,768x = 64,178.73 × 20,583.72
  4. Step 4: Simplify right side
    42,768x = 1,321,037,008.28
  5. Step 5: Solve for x
    x = 1,321,037,008.28/42,768
  6. Step 6: Final answer
    x = 30,888.44

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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.