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Finding the Fourth Proportional to 30,457.43, 42,036.44 and 17,718

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Solution

The fourth proportional to 30,457.43, 42,036.44 and 17,718 is: 24,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457.43 : 42,036.44 = 17,718 : x
  2. Step 2: Convert to fraction form
    30,457.43/42,036.44 = 17,718/x
  3. Step 3: Cross multiply
    30,457.43x = 42,036.44 × 17,718
  4. Step 4: Simplify right side
    30,457.43x = 744,801,643.92
  5. Step 5: Solve for x
    x = 744,801,643.92/30,457.43
  6. Step 6: Final answer
    x = 24,453.86

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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.