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Finding the Fourth Proportional to 29,968.59, 44,952.97 and 7,782.15

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Solution

The fourth proportional to 29,968.59, 44,952.97 and 7,782.15 is: 11,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,968.59 : 44,952.97 = 7,782.15 : x
  2. Step 2: Convert to fraction form
    29,968.59/44,952.97 = 7,782.15/x
  3. Step 3: Cross multiply
    29,968.59x = 44,952.97 × 7,782.15
  4. Step 4: Simplify right side
    29,968.59x = 349,830,736.03
  5. Step 5: Solve for x
    x = 349,830,736.03/29,968.59
  6. Step 6: Final answer
    x = 11,673.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.