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Finding the Fourth Proportional to 37,680.40, 56,520.60 and 14,305.60

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Solution

The fourth proportional to 37,680.40, 56,520.60 and 14,305.60 is: 21,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,680.40 : 56,520.60 = 14,305.60 : x
  2. Step 2: Convert to fraction form
    37,680.40/56,520.60 = 14,305.60/x
  3. Step 3: Cross multiply
    37,680.40x = 56,520.60 × 14,305.60
  4. Step 4: Simplify right side
    37,680.40x = 808,561,095.36
  5. Step 5: Solve for x
    x = 808,561,095.36/37,680.40
  6. Step 6: Final answer
    x = 21,458.40

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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.