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Finding the Fourth Proportional to 65,473.24, 98,214.99 and 21,101.31

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Solution

The fourth proportional to 65,473.24, 98,214.99 and 21,101.31 is: 31,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,473.24 : 98,214.99 = 21,101.31 : x
  2. Step 2: Convert to fraction form
    65,473.24/98,214.99 = 21,101.31/x
  3. Step 3: Cross multiply
    65,473.24x = 98,214.99 × 21,101.31
  4. Step 4: Simplify right side
    65,473.24x = 2,072,464,950.64
  5. Step 5: Solve for x
    x = 2,072,464,950.64/65,473.24
  6. Step 6: Final answer
    x = 31,653.62

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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.