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Finding the Fourth Proportional to 64,902.25, 89,565.11 and 35,094.25

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Solution

The fourth proportional to 64,902.25, 89,565.11 and 35,094.25 is: 48,430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,902.25 : 89,565.11 = 35,094.25 : x
  2. Step 2: Convert to fraction form
    64,902.25/89,565.11 = 35,094.25/x
  3. Step 3: Cross multiply
    64,902.25x = 89,565.11 × 35,094.25
  4. Step 4: Simplify right side
    64,902.25x = 3,143,220,361.62
  5. Step 5: Solve for x
    x = 3,143,220,361.62/64,902.25
  6. Step 6: Final answer
    x = 48,430.07

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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.