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Finding the Fourth Proportional to 30,201.60, 45,302.40 and 16,377.60

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Solution

The fourth proportional to 30,201.60, 45,302.40 and 16,377.60 is: 24,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.60 : 45,302.40 = 16,377.60 : x
  2. Step 2: Convert to fraction form
    30,201.60/45,302.40 = 16,377.60/x
  3. Step 3: Cross multiply
    30,201.60x = 45,302.40 × 16,377.60
  4. Step 4: Simplify right side
    30,201.60x = 741,944,586.24
  5. Step 5: Solve for x
    x = 741,944,586.24/30,201.60
  6. Step 6: Final answer
    x = 24,566.40

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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.