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Finding the Fourth Proportional to 69,210.50, 103,823.04 and 31,764.20

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Solution

The fourth proportional to 69,210.50, 103,823.04 and 31,764.20 is: 47,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,210.50 : 103,823.04 = 31,764.20 : x
  2. Step 2: Convert to fraction form
    69,210.50/103,823.04 = 31,764.20/x
  3. Step 3: Cross multiply
    69,210.50x = 103,823.04 × 31,764.20
  4. Step 4: Simplify right side
    69,210.50x = 3,297,855,807.17
  5. Step 5: Solve for x
    x = 3,297,855,807.17/69,210.50
  6. Step 6: Final answer
    x = 47,649.65

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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.