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Finding the Fourth Proportional to 30,153.40, 45,229.38 and 7,968.32

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Solution

The fourth proportional to 30,153.40, 45,229.38 and 7,968.32 is: 11,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,153.40 : 45,229.38 = 7,968.32 : x
  2. Step 2: Convert to fraction form
    30,153.40/45,229.38 = 7,968.32/x
  3. Step 3: Cross multiply
    30,153.40x = 45,229.38 × 7,968.32
  4. Step 4: Simplify right side
    30,153.40x = 360,402,173.24
  5. Step 5: Solve for x
    x = 360,402,173.24/30,153.40
  6. Step 6: Final answer
    x = 11,952.29

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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.