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Finding the Fourth Proportional to 68,148.09, 102,235.85 and 23,762.93

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Solution

The fourth proportional to 68,148.09, 102,235.85 and 23,762.93 is: 35,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,148.09 : 102,235.85 = 23,762.93 : x
  2. Step 2: Convert to fraction form
    68,148.09/102,235.85 = 23,762.93/x
  3. Step 3: Cross multiply
    68,148.09x = 102,235.85 × 23,762.93
  4. Step 4: Simplify right side
    68,148.09x = 2,429,422,717.05
  5. Step 5: Solve for x
    x = 2,429,422,717.05/68,148.09
  6. Step 6: Final answer
    x = 35,649.17

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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.