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Finding the Fourth Proportional to 65,472, 90,352.32 and 35,664

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Solution

The fourth proportional to 65,472, 90,352.32 and 35,664 is: 49,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,472 : 90,352.32 = 35,664 : x
  2. Step 2: Convert to fraction form
    65,472/90,352.32 = 35,664/x
  3. Step 3: Cross multiply
    65,472x = 90,352.32 × 35,664
  4. Step 4: Simplify right side
    65,472x = 3,222,325,140.48
  5. Step 5: Solve for x
    x = 3,222,325,140.48/65,472
  6. Step 6: Final answer
    x = 49,216.84

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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.