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Finding the Fourth Proportional to 37,783.40, 56,696.70 and 14,426.60

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Solution

The fourth proportional to 37,783.40, 56,696.70 and 14,426.60 is: 21,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783.40 : 56,696.70 = 14,426.60 : x
  2. Step 2: Convert to fraction form
    37,783.40/56,696.70 = 14,426.60/x
  3. Step 3: Cross multiply
    37,783.40x = 56,696.70 × 14,426.60
  4. Step 4: Simplify right side
    37,783.40x = 817,940,612.22
  5. Step 5: Solve for x
    x = 817,940,612.22/37,783.40
  6. Step 6: Final answer
    x = 21,648.15

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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.