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Finding the Fourth Proportional to 65,894.40, 98,851.20 and 21,523.20

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Solution

The fourth proportional to 65,894.40, 98,851.20 and 21,523.20 is: 32,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,894.40 : 98,851.20 = 21,523.20 : x
  2. Step 2: Convert to fraction form
    65,894.40/98,851.20 = 21,523.20/x
  3. Step 3: Cross multiply
    65,894.40x = 98,851.20 × 21,523.20
  4. Step 4: Simplify right side
    65,894.40x = 2,127,594,147.84
  5. Step 5: Solve for x
    x = 2,127,594,147.84/65,894.40
  6. Step 6: Final answer
    x = 32,287.94

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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.