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Finding the Fourth Proportional to 65,376.80, 98,038.32 and 25,928.48

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Solution

The fourth proportional to 65,376.80, 98,038.32 and 25,928.48 is: 38,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,376.80 : 98,038.32 = 25,928.48 : x
  2. Step 2: Convert to fraction form
    65,376.80/98,038.32 = 25,928.48/x
  3. Step 3: Cross multiply
    65,376.80x = 98,038.32 × 25,928.48
  4. Step 4: Simplify right side
    65,376.80x = 2,541,984,619.35
  5. Step 5: Solve for x
    x = 2,541,984,619.35/65,376.80
  6. Step 6: Final answer
    x = 38,882.06

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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.