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Finding the Fourth Proportional to 102,632.70, 153,968.14 and 39,450.26

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Solution

The fourth proportional to 102,632.70, 153,968.14 and 39,450.26 is: 59,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,632.70 : 153,968.14 = 39,450.26 : x
  2. Step 2: Convert to fraction form
    102,632.70/153,968.14 = 39,450.26/x
  3. Step 3: Cross multiply
    102,632.70x = 153,968.14 × 39,450.26
  4. Step 4: Simplify right side
    102,632.70x = 6,074,083,154.72
  5. Step 5: Solve for x
    x = 6,074,083,154.72/102,632.70
  6. Step 6: Final answer
    x = 59,182.73

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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.