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Finding the Fourth Proportional to 65,482, 98,225.44 and 21,109.40

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Solution

The fourth proportional to 65,482, 98,225.44 and 21,109.40 is: 31,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,482 : 98,225.44 = 21,109.40 : x
  2. Step 2: Convert to fraction form
    65,482/98,225.44 = 21,109.40/x
  3. Step 3: Cross multiply
    65,482x = 98,225.44 × 21,109.40
  4. Step 4: Simplify right side
    65,482x = 2,073,480,103.14
  5. Step 5: Solve for x
    x = 2,073,480,103.14/65,482
  6. Step 6: Final answer
    x = 31,664.89

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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.