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Finding the Fourth Proportional to 73,114.24, 100,897.20 and 39,580

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Solution

The fourth proportional to 73,114.24, 100,897.20 and 39,580 is: 54,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,114.24 : 100,897.20 = 39,580 : x
  2. Step 2: Convert to fraction form
    73,114.24/100,897.20 = 39,580/x
  3. Step 3: Cross multiply
    73,114.24x = 100,897.20 × 39,580
  4. Step 4: Simplify right side
    73,114.24x = 3,993,511,176
  5. Step 5: Solve for x
    x = 3,993,511,176/73,114.24
  6. Step 6: Final answer
    x = 54,620.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.