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Finding the Fourth Proportional to 65,492.28, 98,242.74 and 23,968.44

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Solution

The fourth proportional to 65,492.28, 98,242.74 and 23,968.44 is: 35,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,492.28 : 98,242.74 = 23,968.44 : x
  2. Step 2: Convert to fraction form
    65,492.28/98,242.74 = 23,968.44/x
  3. Step 3: Cross multiply
    65,492.28x = 98,242.74 × 23,968.44
  4. Step 4: Simplify right side
    65,492.28x = 2,354,725,219.13
  5. Step 5: Solve for x
    x = 2,354,725,219.13/65,492.28
  6. Step 6: Final answer
    x = 35,954.24

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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.