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Finding the Fourth Proportional to 65,136, 97,649.60 and 27,725.44

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Solution

The fourth proportional to 65,136, 97,649.60 and 27,725.44 is: 41,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,136 : 97,649.60 = 27,725.44 : x
  2. Step 2: Convert to fraction form
    65,136/97,649.60 = 27,725.44/x
  3. Step 3: Cross multiply
    65,136x = 97,649.60 × 27,725.44
  4. Step 4: Simplify right side
    65,136x = 2,707,378,125.82
  5. Step 5: Solve for x
    x = 2,707,378,125.82/65,136
  6. Step 6: Final answer
    x = 41,565.00

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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.