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Finding the Fourth Proportional to 65,968, 91,036.16 and 39,472

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Solution

The fourth proportional to 65,968, 91,036.16 and 39,472 is: 54,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,968 : 91,036.16 = 39,472 : x
  2. Step 2: Convert to fraction form
    65,968/91,036.16 = 39,472/x
  3. Step 3: Cross multiply
    65,968x = 91,036.16 × 39,472
  4. Step 4: Simplify right side
    65,968x = 3,593,379,307.52
  5. Step 5: Solve for x
    x = 3,593,379,307.52/65,968
  6. Step 6: Final answer
    x = 54,471.55

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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.