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Finding the Fourth Proportional to 65,539.50, 98,309.61 and 16,291.50

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Solution

The fourth proportional to 65,539.50, 98,309.61 and 16,291.50 is: 24,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,539.50 : 98,309.61 = 16,291.50 : x
  2. Step 2: Convert to fraction form
    65,539.50/98,309.61 = 16,291.50/x
  3. Step 3: Cross multiply
    65,539.50x = 98,309.61 × 16,291.50
  4. Step 4: Simplify right side
    65,539.50x = 1,601,611,011.32
  5. Step 5: Solve for x
    x = 1,601,611,011.32/65,539.50
  6. Step 6: Final answer
    x = 24,437.34

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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.