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Finding the Fourth Proportional to 30,828.64, 46,249.44 and 10,066.72

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Solution

The fourth proportional to 30,828.64, 46,249.44 and 10,066.72 is: 15,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.64 : 46,249.44 = 10,066.72 : x
  2. Step 2: Convert to fraction form
    30,828.64/46,249.44 = 10,066.72/x
  3. Step 3: Cross multiply
    30,828.64x = 46,249.44 × 10,066.72
  4. Step 4: Simplify right side
    30,828.64x = 465,580,162.64
  5. Step 5: Solve for x
    x = 465,580,162.64/30,828.64
  6. Step 6: Final answer
    x = 15,102.20

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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.