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Finding the Fourth Proportional to 68,050.47, 102,089.07 and 23,678.67

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Solution

The fourth proportional to 68,050.47, 102,089.07 and 23,678.67 is: 35,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,050.47 : 102,089.07 = 23,678.67 : x
  2. Step 2: Convert to fraction form
    68,050.47/102,089.07 = 23,678.67/x
  3. Step 3: Cross multiply
    68,050.47x = 102,089.07 × 23,678.67
  4. Step 4: Simplify right side
    68,050.47x = 2,417,333,399.14
  5. Step 5: Solve for x
    x = 2,417,333,399.14/68,050.47
  6. Step 6: Final answer
    x = 35,522.66

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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.