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Finding the Fourth Proportional to 30,533.96, 45,807.46 and 9,473.54

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Solution

The fourth proportional to 30,533.96, 45,807.46 and 9,473.54 is: 14,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,533.96 : 45,807.46 = 9,473.54 : x
  2. Step 2: Convert to fraction form
    30,533.96/45,807.46 = 9,473.54/x
  3. Step 3: Cross multiply
    30,533.96x = 45,807.46 × 9,473.54
  4. Step 4: Simplify right side
    30,533.96x = 433,958,804.61
  5. Step 5: Solve for x
    x = 433,958,804.61/30,533.96
  6. Step 6: Final answer
    x = 14,212.33

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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.