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Finding the Fourth Proportional to 65,784.96, 98,677.44 and 23,670.63

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Solution

The fourth proportional to 65,784.96, 98,677.44 and 23,670.63 is: 35,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,784.96 : 98,677.44 = 23,670.63 : x
  2. Step 2: Convert to fraction form
    65,784.96/98,677.44 = 23,670.63/x
  3. Step 3: Cross multiply
    65,784.96x = 98,677.44 × 23,670.63
  4. Step 4: Simplify right side
    65,784.96x = 2,335,757,171.59
  5. Step 5: Solve for x
    x = 2,335,757,171.59/65,784.96
  6. Step 6: Final answer
    x = 35,505.95

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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.