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Finding the Fourth Proportional to 68,502.90, 102,752.91 and 31,566.90

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Solution

The fourth proportional to 68,502.90, 102,752.91 and 31,566.90 is: 47,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,502.90 : 102,752.91 = 31,566.90 : x
  2. Step 2: Convert to fraction form
    68,502.90/102,752.91 = 31,566.90/x
  3. Step 3: Cross multiply
    68,502.90x = 102,752.91 × 31,566.90
  4. Step 4: Simplify right side
    68,502.90x = 3,243,590,834.68
  5. Step 5: Solve for x
    x = 3,243,590,834.68/68,502.90
  6. Step 6: Final answer
    x = 47,349.69

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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.