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Finding the Fourth Proportional to 42,807.66, 64,184.16 and 20,576.82

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Solution

The fourth proportional to 42,807.66, 64,184.16 and 20,576.82 is: 30,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,807.66 : 64,184.16 = 20,576.82 : x
  2. Step 2: Convert to fraction form
    42,807.66/64,184.16 = 20,576.82/x
  3. Step 3: Cross multiply
    42,807.66x = 64,184.16 × 20,576.82
  4. Step 4: Simplify right side
    42,807.66x = 1,320,705,907.17
  5. Step 5: Solve for x
    x = 1,320,705,907.17/42,807.66
  6. Step 6: Final answer
    x = 30,852.09

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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.