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Finding the Fourth Proportional to 65,173.48, 97,735.90 and 25,717.48

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Solution

The fourth proportional to 65,173.48, 97,735.90 and 25,717.48 is: 38,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,173.48 : 97,735.90 = 25,717.48 : x
  2. Step 2: Convert to fraction form
    65,173.48/97,735.90 = 25,717.48/x
  3. Step 3: Cross multiply
    65,173.48x = 97,735.90 × 25,717.48
  4. Step 4: Simplify right side
    65,173.48x = 2,513,521,053.53
  5. Step 5: Solve for x
    x = 2,513,521,053.53/65,173.48
  6. Step 6: Final answer
    x = 38,566.62

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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.