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Finding the Fourth Proportional to 30,973, 42,751.18 and 18,230.27

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Solution

The fourth proportional to 30,973, 42,751.18 and 18,230.27 is: 25,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,973 : 42,751.18 = 18,230.27 : x
  2. Step 2: Convert to fraction form
    30,973/42,751.18 = 18,230.27/x
  3. Step 3: Cross multiply
    30,973x = 42,751.18 × 18,230.27
  4. Step 4: Simplify right side
    30,973x = 779,365,554.22
  5. Step 5: Solve for x
    x = 779,365,554.22/30,973
  6. Step 6: Final answer
    x = 25,162.74

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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.