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Finding the Fourth Proportional to 30,314.44, 45,465.18 and 9,533.32

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Solution

The fourth proportional to 30,314.44, 45,465.18 and 9,533.32 is: 14,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314.44 : 45,465.18 = 9,533.32 : x
  2. Step 2: Convert to fraction form
    30,314.44/45,465.18 = 9,533.32/x
  3. Step 3: Cross multiply
    30,314.44x = 45,465.18 × 9,533.32
  4. Step 4: Simplify right side
    30,314.44x = 433,434,109.80
  5. Step 5: Solve for x
    x = 433,434,109.80/30,314.44
  6. Step 6: Final answer
    x = 14,297.94

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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.