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Finding the Fourth Proportional to 30,434.22, 45,656.24 and 9,374.26

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Solution

The fourth proportional to 30,434.22, 45,656.24 and 9,374.26 is: 14,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.22 : 45,656.24 = 9,374.26 : x
  2. Step 2: Convert to fraction form
    30,434.22/45,656.24 = 9,374.26/x
  3. Step 3: Cross multiply
    30,434.22x = 45,656.24 × 9,374.26
  4. Step 4: Simplify right side
    30,434.22x = 427,993,464.38
  5. Step 5: Solve for x
    x = 427,993,464.38/30,434.22
  6. Step 6: Final answer
    x = 14,062.90

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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.