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Finding the Fourth Proportional to 65,718.84, 98,569.02 and 21,346.20

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Solution

The fourth proportional to 65,718.84, 98,569.02 and 21,346.20 is: 32,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,718.84 : 98,569.02 = 21,346.20 : x
  2. Step 2: Convert to fraction form
    65,718.84/98,569.02 = 21,346.20/x
  3. Step 3: Cross multiply
    65,718.84x = 98,569.02 × 21,346.20
  4. Step 4: Simplify right side
    65,718.84x = 2,104,074,014.72
  5. Step 5: Solve for x
    x = 2,104,074,014.72/65,718.84
  6. Step 6: Final answer
    x = 32,016.30

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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.