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Finding the Fourth Proportional to 72,940.12, 109,409.94 and 23,692.12

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Solution

The fourth proportional to 72,940.12, 109,409.94 and 23,692.12 is: 35,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,940.12 : 109,409.94 = 23,692.12 : x
  2. Step 2: Convert to fraction form
    72,940.12/109,409.94 = 23,692.12/x
  3. Step 3: Cross multiply
    72,940.12x = 109,409.94 × 23,692.12
  4. Step 4: Simplify right side
    72,940.12x = 2,592,153,427.67
  5. Step 5: Solve for x
    x = 2,592,153,427.67/72,940.12
  6. Step 6: Final answer
    x = 35,538.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.