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Finding the Fourth Proportional to 65,842.74, 98,774.37 and 21,459.20

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Solution

The fourth proportional to 65,842.74, 98,774.37 and 21,459.20 is: 32,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,842.74 : 98,774.37 = 21,459.20 : x
  2. Step 2: Convert to fraction form
    65,842.74/98,774.37 = 21,459.20/x
  3. Step 3: Cross multiply
    65,842.74x = 98,774.37 × 21,459.20
  4. Step 4: Simplify right side
    65,842.74x = 2,119,618,466.83
  5. Step 5: Solve for x
    x = 2,119,618,466.83/65,842.74
  6. Step 6: Final answer
    x = 32,192.14

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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.