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Finding the Fourth Proportional to 30,284.51, 45,429.06 and 9,226.32

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Solution

The fourth proportional to 30,284.51, 45,429.06 and 9,226.32 is: 13,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.51 : 45,429.06 = 9,226.32 : x
  2. Step 2: Convert to fraction form
    30,284.51/45,429.06 = 9,226.32/x
  3. Step 3: Cross multiply
    30,284.51x = 45,429.06 × 9,226.32
  4. Step 4: Simplify right side
    30,284.51x = 419,143,044.86
  5. Step 5: Solve for x
    x = 419,143,044.86/30,284.51
  6. Step 6: Final answer
    x = 13,840.18

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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.