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Finding the Fourth Proportional to 47,072, 64,965.12 and 27,200

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Solution

The fourth proportional to 47,072, 64,965.12 and 27,200 is: 37,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,072 : 64,965.12 = 27,200 : x
  2. Step 2: Convert to fraction form
    47,072/64,965.12 = 27,200/x
  3. Step 3: Cross multiply
    47,072x = 64,965.12 × 27,200
  4. Step 4: Simplify right side
    47,072x = 1,767,051,264
  5. Step 5: Solve for x
    x = 1,767,051,264/47,072
  6. Step 6: Final answer
    x = 37,539.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.