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Finding the Fourth Proportional to 64,952, 89,633.82 and 36,657.08

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Solution

The fourth proportional to 64,952, 89,633.82 and 36,657.08 is: 50,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952 : 89,633.82 = 36,657.08 : x
  2. Step 2: Convert to fraction form
    64,952/89,633.82 = 36,657.08/x
  3. Step 3: Cross multiply
    64,952x = 89,633.82 × 36,657.08
  4. Step 4: Simplify right side
    64,952x = 3,285,714,110.45
  5. Step 5: Solve for x
    x = 3,285,714,110.45/64,952
  6. Step 6: Final answer
    x = 50,586.80

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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.