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Finding the Fourth Proportional to 37,783.68, 56,679.22 and 14,085.70

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Solution

The fourth proportional to 37,783.68, 56,679.22 and 14,085.70 is: 21,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783.68 : 56,679.22 = 14,085.70 : x
  2. Step 2: Convert to fraction form
    37,783.68/56,679.22 = 14,085.70/x
  3. Step 3: Cross multiply
    37,783.68x = 56,679.22 × 14,085.70
  4. Step 4: Simplify right side
    37,783.68x = 798,366,312.24
  5. Step 5: Solve for x
    x = 798,366,312.24/37,783.68
  6. Step 6: Final answer
    x = 21,129.92

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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.