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Finding the Fourth Proportional to 64,814, 89,443.36 and 35,006

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Solution

The fourth proportional to 64,814, 89,443.36 and 35,006 is: 48,308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,814 : 89,443.36 = 35,006 : x
  2. Step 2: Convert to fraction form
    64,814/89,443.36 = 35,006/x
  3. Step 3: Cross multiply
    64,814x = 89,443.36 × 35,006
  4. Step 4: Simplify right side
    64,814x = 3,131,054,260.16
  5. Step 5: Solve for x
    x = 3,131,054,260.16/64,814
  6. Step 6: Final answer
    x = 48,308.30

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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.