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Finding the Fourth Proportional to 64,824.22, 89,457.43 and 35,016.22

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Solution

The fourth proportional to 64,824.22, 89,457.43 and 35,016.22 is: 48,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,824.22 : 89,457.43 = 35,016.22 : x
  2. Step 2: Convert to fraction form
    64,824.22/89,457.43 = 35,016.22/x
  3. Step 3: Cross multiply
    64,824.22x = 89,457.43 × 35,016.22
  4. Step 4: Simplify right side
    64,824.22x = 3,132,460,874.43
  5. Step 5: Solve for x
    x = 3,132,460,874.43/64,824.22
  6. Step 6: Final answer
    x = 48,322.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.