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Finding the Fourth Proportional to 36,300.30, 54,378.45 and 31,970.70

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Solution

The fourth proportional to 36,300.30, 54,378.45 and 31,970.70 is: 47,892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,300.30 : 54,378.45 = 31,970.70 : x
  2. Step 2: Convert to fraction form
    36,300.30/54,378.45 = 31,970.70/x
  3. Step 3: Cross multiply
    36,300.30x = 54,378.45 × 31,970.70
  4. Step 4: Simplify right side
    36,300.30x = 1,738,517,111.42
  5. Step 5: Solve for x
    x = 1,738,517,111.42/36,300.30
  6. Step 6: Final answer
    x = 47,892.64

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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.