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Finding the Fourth Proportional to 72,911.50, 109,367.25 and 23,663.50

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Solution

The fourth proportional to 72,911.50, 109,367.25 and 23,663.50 is: 35,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,911.50 : 109,367.25 = 23,663.50 : x
  2. Step 2: Convert to fraction form
    72,911.50/109,367.25 = 23,663.50/x
  3. Step 3: Cross multiply
    72,911.50x = 109,367.25 × 23,663.50
  4. Step 4: Simplify right side
    72,911.50x = 2,588,011,920.38
  5. Step 5: Solve for x
    x = 2,588,011,920.38/72,911.50
  6. Step 6: Final answer
    x = 35,495.25

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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.