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Finding the Fourth Proportional to 30,378.60, 41,921.49 and 16,580.40

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Solution

The fourth proportional to 30,378.60, 41,921.49 and 16,580.40 is: 22,880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.60 : 41,921.49 = 16,580.40 : x
  2. Step 2: Convert to fraction form
    30,378.60/41,921.49 = 16,580.40/x
  3. Step 3: Cross multiply
    30,378.60x = 41,921.49 × 16,580.40
  4. Step 4: Simplify right side
    30,378.60x = 695,075,177.60
  5. Step 5: Solve for x
    x = 695,075,177.60/30,378.60
  6. Step 6: Final answer
    x = 22,880.42

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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.