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Finding the Fourth Proportional to 30,572.84, 45,855.34 and 11,840.06

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Solution

The fourth proportional to 30,572.84, 45,855.34 and 11,840.06 is: 17,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,572.84 : 45,855.34 = 11,840.06 : x
  2. Step 2: Convert to fraction form
    30,572.84/45,855.34 = 11,840.06/x
  3. Step 3: Cross multiply
    30,572.84x = 45,855.34 × 11,840.06
  4. Step 4: Simplify right side
    30,572.84x = 542,929,976.92
  5. Step 5: Solve for x
    x = 542,929,976.92/30,572.84
  6. Step 6: Final answer
    x = 17,758.57

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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.