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Finding the Fourth Proportional to 65,411.63, 98,118.38 and 18,664.50

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Solution

The fourth proportional to 65,411.63, 98,118.38 and 18,664.50 is: 27,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,411.63 : 98,118.38 = 18,664.50 : x
  2. Step 2: Convert to fraction form
    65,411.63/98,118.38 = 18,664.50/x
  3. Step 3: Cross multiply
    65,411.63x = 98,118.38 × 18,664.50
  4. Step 4: Simplify right side
    65,411.63x = 1,831,330,550.17
  5. Step 5: Solve for x
    x = 1,831,330,550.17/65,411.63
  6. Step 6: Final answer
    x = 27,997.02

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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.