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Finding the Fourth Proportional to 65,814, 98,731.26 and 21,430.29

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Solution

The fourth proportional to 65,814, 98,731.26 and 21,430.29 is: 32,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,814 : 98,731.26 = 21,430.29 : x
  2. Step 2: Convert to fraction form
    65,814/98,731.26 = 21,430.29/x
  3. Step 3: Cross multiply
    65,814x = 98,731.26 × 21,430.29
  4. Step 4: Simplify right side
    65,814x = 2,115,839,533.87
  5. Step 5: Solve for x
    x = 2,115,839,533.87/65,814
  6. Step 6: Final answer
    x = 32,148.78

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