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Finding the Fourth Proportional to 64,879, 89,533.14 and 35,071

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Solution

The fourth proportional to 64,879, 89,533.14 and 35,071 is: 48,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,879 : 89,533.14 = 35,071 : x
  2. Step 2: Convert to fraction form
    64,879/89,533.14 = 35,071/x
  3. Step 3: Cross multiply
    64,879x = 89,533.14 × 35,071
  4. Step 4: Simplify right side
    64,879x = 3,140,016,752.94
  5. Step 5: Solve for x
    x = 3,140,016,752.94/64,879
  6. Step 6: Final answer
    x = 48,398.04

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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.