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Finding the Fourth Proportional to 64,824, 89,457.20 and 35,016

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Solution

The fourth proportional to 64,824, 89,457.20 and 35,016 is: 48,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,824 : 89,457.20 = 35,016 : x
  2. Step 2: Convert to fraction form
    64,824/89,457.20 = 35,016/x
  3. Step 3: Cross multiply
    64,824x = 89,457.20 × 35,016
  4. Step 4: Simplify right side
    64,824x = 3,132,433,315.20
  5. Step 5: Solve for x
    x = 3,132,433,315.20/64,824
  6. Step 6: Final answer
    x = 48,322.12

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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.