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Finding the Fourth Proportional to 66,028.16, 91,118.04 and 35,813

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Solution

The fourth proportional to 66,028.16, 91,118.04 and 35,813 is: 49,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,028.16 : 91,118.04 = 35,813 : x
  2. Step 2: Convert to fraction form
    66,028.16/91,118.04 = 35,813/x
  3. Step 3: Cross multiply
    66,028.16x = 91,118.04 × 35,813
  4. Step 4: Simplify right side
    66,028.16x = 3,263,210,366.52
  5. Step 5: Solve for x
    x = 3,263,210,366.52/66,028.16
  6. Step 6: Final answer
    x = 49,421.49

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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.