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Finding the Fourth Proportional to 64,817, 89,447.52 and 35,009

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Solution

The fourth proportional to 64,817, 89,447.52 and 35,009 is: 48,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,817 : 89,447.52 = 35,009 : x
  2. Step 2: Convert to fraction form
    64,817/89,447.52 = 35,009/x
  3. Step 3: Cross multiply
    64,817x = 89,447.52 × 35,009
  4. Step 4: Simplify right side
    64,817x = 3,131,468,227.68
  5. Step 5: Solve for x
    x = 3,131,468,227.68/64,817
  6. Step 6: Final answer
    x = 48,312.45

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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.