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Finding the Fourth Proportional to 65,809.31, 98,690.87 and 18,411.67

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Solution

The fourth proportional to 65,809.31, 98,690.87 and 18,411.67 is: 27,611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,809.31 : 98,690.87 = 18,411.67 : x
  2. Step 2: Convert to fraction form
    65,809.31/98,690.87 = 18,411.67/x
  3. Step 3: Cross multiply
    65,809.31x = 98,690.87 × 18,411.67
  4. Step 4: Simplify right side
    65,809.31x = 1,817,063,749.32
  5. Step 5: Solve for x
    x = 1,817,063,749.32/65,809.31
  6. Step 6: Final answer
    x = 27,611.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.