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Finding the Fourth Proportional to 64,824.01, 89,457 and 35,016.01

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Solution

The fourth proportional to 64,824.01, 89,457 and 35,016.01 is: 48,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,824.01 : 89,457 = 35,016.01 : x
  2. Step 2: Convert to fraction form
    64,824.01/89,457 = 35,016.01/x
  3. Step 3: Cross multiply
    64,824.01x = 89,457 × 35,016.01
  4. Step 4: Simplify right side
    64,824.01x = 3,132,427,206.57
  5. Step 5: Solve for x
    x = 3,132,427,206.57/64,824.01
  6. Step 6: Final answer
    x = 48,322.02

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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.