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Finding the Fourth Proportional to 65,844, 98,767.17 and 21,470.58

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Solution

The fourth proportional to 65,844, 98,767.17 and 21,470.58 is: 32,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,844 : 98,767.17 = 21,470.58 : x
  2. Step 2: Convert to fraction form
    65,844/98,767.17 = 21,470.58/x
  3. Step 3: Cross multiply
    65,844x = 98,767.17 × 21,470.58
  4. Step 4: Simplify right side
    65,844x = 2,120,588,424.86
  5. Step 5: Solve for x
    x = 2,120,588,424.86/65,844
  6. Step 6: Final answer
    x = 32,206.25

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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.