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Finding the Fourth Proportional to 36,700.50, 55,038.61 and 14,200.74

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Solution

The fourth proportional to 36,700.50, 55,038.61 and 14,200.74 is: 21,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,700.50 : 55,038.61 = 14,200.74 : x
  2. Step 2: Convert to fraction form
    36,700.50/55,038.61 = 14,200.74/x
  3. Step 3: Cross multiply
    36,700.50x = 55,038.61 × 14,200.74
  4. Step 4: Simplify right side
    36,700.50x = 781,588,990.57
  5. Step 5: Solve for x
    x = 781,588,990.57/36,700.50
  6. Step 6: Final answer
    x = 21,296.41

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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.