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Finding the Fourth Proportional to 30,193.14, 45,275.14 and 12,658.26

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Solution

The fourth proportional to 30,193.14, 45,275.14 and 12,658.26 is: 18,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,193.14 : 45,275.14 = 12,658.26 : x
  2. Step 2: Convert to fraction form
    30,193.14/45,275.14 = 12,658.26/x
  3. Step 3: Cross multiply
    30,193.14x = 45,275.14 × 12,658.26
  4. Step 4: Simplify right side
    30,193.14x = 573,104,493.66
  5. Step 5: Solve for x
    x = 573,104,493.66/30,193.14
  6. Step 6: Final answer
    x = 18,981.28

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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.