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Finding the Fourth Proportional to 64,457, 96,685.50 and 22,905.64

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Solution

The fourth proportional to 64,457, 96,685.50 and 22,905.64 is: 34,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,457 : 96,685.50 = 22,905.64 : x
  2. Step 2: Convert to fraction form
    64,457/96,685.50 = 22,905.64/x
  3. Step 3: Cross multiply
    64,457x = 96,685.50 × 22,905.64
  4. Step 4: Simplify right side
    64,457x = 2,214,643,256.22
  5. Step 5: Solve for x
    x = 2,214,643,256.22/64,457
  6. Step 6: Final answer
    x = 34,358.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.