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Finding the Fourth Proportional to 52,486.80, 72,409.97 and 30,968

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Solution

The fourth proportional to 52,486.80, 72,409.97 and 30,968 is: 42,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,486.80 : 72,409.97 = 30,968 : x
  2. Step 2: Convert to fraction form
    52,486.80/72,409.97 = 30,968/x
  3. Step 3: Cross multiply
    52,486.80x = 72,409.97 × 30,968
  4. Step 4: Simplify right side
    52,486.80x = 2,242,391,950.96
  5. Step 5: Solve for x
    x = 2,242,391,950.96/52,486.80
  6. Step 6: Final answer
    x = 42,722.97

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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.