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Finding the Fourth Proportional to 30,774, 42,457.52 and 18,678.29

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Solution

The fourth proportional to 30,774, 42,457.52 and 18,678.29 is: 25,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774 : 42,457.52 = 18,678.29 : x
  2. Step 2: Convert to fraction form
    30,774/42,457.52 = 18,678.29/x
  3. Step 3: Cross multiply
    30,774x = 42,457.52 × 18,678.29
  4. Step 4: Simplify right side
    30,774x = 793,033,883.99
  5. Step 5: Solve for x
    x = 793,033,883.99/30,774
  6. Step 6: Final answer
    x = 25,769.61

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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.