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Finding the Fourth Proportional to 51,210.20, 76,863.90 and 31,527.20

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Solution

The fourth proportional to 51,210.20, 76,863.90 and 31,527.20 is: 47,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,210.20 : 76,863.90 = 31,527.20 : x
  2. Step 2: Convert to fraction form
    51,210.20/76,863.90 = 31,527.20/x
  3. Step 3: Cross multiply
    51,210.20x = 76,863.90 × 31,527.20
  4. Step 4: Simplify right side
    51,210.20x = 2,423,303,548.08
  5. Step 5: Solve for x
    x = 2,423,303,548.08/51,210.20
  6. Step 6: Final answer
    x = 47,320.72

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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.