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Finding the Fourth Proportional to 66,535.36, 91,816.48 and 39,664

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Solution

The fourth proportional to 66,535.36, 91,816.48 and 39,664 is: 54,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,535.36 : 91,816.48 = 39,664 : x
  2. Step 2: Convert to fraction form
    66,535.36/91,816.48 = 39,664/x
  3. Step 3: Cross multiply
    66,535.36x = 91,816.48 × 39,664
  4. Step 4: Simplify right side
    66,535.36x = 3,641,808,862.72
  5. Step 5: Solve for x
    x = 3,641,808,862.72/66,535.36
  6. Step 6: Final answer
    x = 54,734.94

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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.