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Finding the Fourth Proportional to 30,464.20, 45,700.63 and 9,405.97

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Solution

The fourth proportional to 30,464.20, 45,700.63 and 9,405.97 is: 14,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464.20 : 45,700.63 = 9,405.97 : x
  2. Step 2: Convert to fraction form
    30,464.20/45,700.63 = 9,405.97/x
  3. Step 3: Cross multiply
    30,464.20x = 45,700.63 × 9,405.97
  4. Step 4: Simplify right side
    30,464.20x = 429,858,900.51
  5. Step 5: Solve for x
    x = 429,858,900.51/30,464.20
  6. Step 6: Final answer
    x = 14,110.30

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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.