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Finding the Fourth Proportional to 65,774, 98,665.86 and 21,397.34

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Solution

The fourth proportional to 65,774, 98,665.86 and 21,397.34 is: 32,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,774 : 98,665.86 = 21,397.34 : x
  2. Step 2: Convert to fraction form
    65,774/98,665.86 = 21,397.34/x
  3. Step 3: Cross multiply
    65,774x = 98,665.86 × 21,397.34
  4. Step 4: Simplify right side
    65,774x = 2,111,186,952.81
  5. Step 5: Solve for x
    x = 2,111,186,952.81/65,774
  6. Step 6: Final answer
    x = 32,097.59

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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.