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Finding the Fourth Proportional to 30,421.20, 45,633.42 and 9,646.32

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Solution

The fourth proportional to 30,421.20, 45,633.42 and 9,646.32 is: 14,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,421.20 : 45,633.42 = 9,646.32 : x
  2. Step 2: Convert to fraction form
    30,421.20/45,633.42 = 9,646.32/x
  3. Step 3: Cross multiply
    30,421.20x = 45,633.42 × 9,646.32
  4. Step 4: Simplify right side
    30,421.20x = 440,194,572.01
  5. Step 5: Solve for x
    x = 440,194,572.01/30,421.20
  6. Step 6: Final answer
    x = 14,469.99

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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.