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Finding the Fourth Proportional to 30,297.70, 45,425.46 and 13,421.55

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Solution

The fourth proportional to 30,297.70, 45,425.46 and 13,421.55 is: 20,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.70 : 45,425.46 = 13,421.55 : x
  2. Step 2: Convert to fraction form
    30,297.70/45,425.46 = 13,421.55/x
  3. Step 3: Cross multiply
    30,297.70x = 45,425.46 × 13,421.55
  4. Step 4: Simplify right side
    30,297.70x = 609,680,082.66
  5. Step 5: Solve for x
    x = 609,680,082.66/30,297.70
  6. Step 6: Final answer
    x = 20,122.98

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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.