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Finding the Fourth Proportional to 42,656, 64,007.04 and 20,768

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Solution

The fourth proportional to 42,656, 64,007.04 and 20,768 is: 31,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,656 : 64,007.04 = 20,768 : x
  2. Step 2: Convert to fraction form
    42,656/64,007.04 = 20,768/x
  3. Step 3: Cross multiply
    42,656x = 64,007.04 × 20,768
  4. Step 4: Simplify right side
    42,656x = 1,329,298,206.72
  5. Step 5: Solve for x
    x = 1,329,298,206.72/42,656
  6. Step 6: Final answer
    x = 31,163.22

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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.