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Finding the Fourth Proportional to 30,378.34, 41,922.06 and 16,948.78

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Solution

The fourth proportional to 30,378.34, 41,922.06 and 16,948.78 is: 23,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.34 : 41,922.06 = 16,948.78 : x
  2. Step 2: Convert to fraction form
    30,378.34/41,922.06 = 16,948.78/x
  3. Step 3: Cross multiply
    30,378.34x = 41,922.06 × 16,948.78
  4. Step 4: Simplify right side
    30,378.34x = 710,527,603.72
  5. Step 5: Solve for x
    x = 710,527,603.72/30,378.34
  6. Step 6: Final answer
    x = 23,389.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.