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Finding the Fourth Proportional to 66,508, 91,781.16 and 36,700

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Solution

The fourth proportional to 66,508, 91,781.16 and 36,700 is: 50,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,508 : 91,781.16 = 36,700 : x
  2. Step 2: Convert to fraction form
    66,508/91,781.16 = 36,700/x
  3. Step 3: Cross multiply
    66,508x = 91,781.16 × 36,700
  4. Step 4: Simplify right side
    66,508x = 3,368,368,572
  5. Step 5: Solve for x
    x = 3,368,368,572/66,508
  6. Step 6: Final answer
    x = 50,646.07

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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.