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Finding the Fourth Proportional to 65,180.60, 97,751.70 and 25,724.60

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Solution

The fourth proportional to 65,180.60, 97,751.70 and 25,724.60 is: 38,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,180.60 : 97,751.70 = 25,724.60 : x
  2. Step 2: Convert to fraction form
    65,180.60/97,751.70 = 25,724.60/x
  3. Step 3: Cross multiply
    65,180.60x = 97,751.70 × 25,724.60
  4. Step 4: Simplify right side
    65,180.60x = 2,514,623,381.82
  5. Step 5: Solve for x
    x = 2,514,623,381.82/65,180.60
  6. Step 6: Final answer
    x = 38,579.32

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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.