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Finding the Fourth Proportional to 30,052.19, 45,092.46 and 13,410.74

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Solution

The fourth proportional to 30,052.19, 45,092.46 and 13,410.74 is: 20,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,052.19 : 45,092.46 = 13,410.74 : x
  2. Step 2: Convert to fraction form
    30,052.19/45,092.46 = 13,410.74/x
  3. Step 3: Cross multiply
    30,052.19x = 45,092.46 × 13,410.74
  4. Step 4: Simplify right side
    30,052.19x = 604,723,257.02
  5. Step 5: Solve for x
    x = 604,723,257.02/30,052.19
  6. Step 6: Final answer
    x = 20,122.44

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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.