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Finding the Fourth Proportional to 65,109.08, 89,852.30 and 36,819

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Solution

The fourth proportional to 65,109.08, 89,852.30 and 36,819 is: 50,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,109.08 : 89,852.30 = 36,819 : x
  2. Step 2: Convert to fraction form
    65,109.08/89,852.30 = 36,819/x
  3. Step 3: Cross multiply
    65,109.08x = 89,852.30 × 36,819
  4. Step 4: Simplify right side
    65,109.08x = 3,308,271,833.70
  5. Step 5: Solve for x
    x = 3,308,271,833.70/65,109.08
  6. Step 6: Final answer
    x = 50,811.22

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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.