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Finding the Fourth Proportional to 65,224.40, 97,836.60 and 54,856.40

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Solution

The fourth proportional to 65,224.40, 97,836.60 and 54,856.40 is: 82,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,224.40 : 97,836.60 = 54,856.40 : x
  2. Step 2: Convert to fraction form
    65,224.40/97,836.60 = 54,856.40/x
  3. Step 3: Cross multiply
    65,224.40x = 97,836.60 × 54,856.40
  4. Step 4: Simplify right side
    65,224.40x = 5,366,963,664.24
  5. Step 5: Solve for x
    x = 5,366,963,664.24/65,224.40
  6. Step 6: Final answer
    x = 82,284.60

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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.