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Finding the Fourth Proportional to 30,126.75, 45,205.89 and 21,874.93

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Solution

The fourth proportional to 30,126.75, 45,205.89 and 21,874.93 is: 32,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,126.75 : 45,205.89 = 21,874.93 : x
  2. Step 2: Convert to fraction form
    30,126.75/45,205.89 = 21,874.93/x
  3. Step 3: Cross multiply
    30,126.75x = 45,205.89 × 21,874.93
  4. Step 4: Simplify right side
    30,126.75x = 988,875,569.96
  5. Step 5: Solve for x
    x = 988,875,569.96/30,126.75
  6. Step 6: Final answer
    x = 32,823.84

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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.