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Finding the Fourth Proportional to 65,564.77, 98,361.78 and 18,814

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Solution

The fourth proportional to 65,564.77, 98,361.78 and 18,814 is: 28,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,564.77 : 98,361.78 = 18,814 : x
  2. Step 2: Convert to fraction form
    65,564.77/98,361.78 = 18,814/x
  3. Step 3: Cross multiply
    65,564.77x = 98,361.78 × 18,814
  4. Step 4: Simplify right side
    65,564.77x = 1,850,578,528.92
  5. Step 5: Solve for x
    x = 1,850,578,528.92/65,564.77
  6. Step 6: Final answer
    x = 28,225.20

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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.