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Finding the Fourth Proportional to 30,313.44, 45,463.68 and 9,532.32

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Solution

The fourth proportional to 30,313.44, 45,463.68 and 9,532.32 is: 14,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,313.44 : 45,463.68 = 9,532.32 : x
  2. Step 2: Convert to fraction form
    30,313.44/45,463.68 = 9,532.32/x
  3. Step 3: Cross multiply
    30,313.44x = 45,463.68 × 9,532.32
  4. Step 4: Simplify right side
    30,313.44x = 433,374,346.14
  5. Step 5: Solve for x
    x = 433,374,346.14/30,313.44
  6. Step 6: Final answer
    x = 14,296.44

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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.