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Finding the Fourth Proportional to 30,296.42, 45,423.44 and 13,421.21

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Solution

The fourth proportional to 30,296.42, 45,423.44 and 13,421.21 is: 20,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.42 : 45,423.44 = 13,421.21 : x
  2. Step 2: Convert to fraction form
    30,296.42/45,423.44 = 13,421.21/x
  3. Step 3: Cross multiply
    30,296.42x = 45,423.44 × 13,421.21
  4. Step 4: Simplify right side
    30,296.42x = 609,637,527.16
  5. Step 5: Solve for x
    x = 609,637,527.16/30,296.42
  6. Step 6: Final answer
    x = 20,122.43

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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.