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Finding the Fourth Proportional to 65,259.36, 97,932.72 and 23,706.36

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Solution

The fourth proportional to 65,259.36, 97,932.72 and 23,706.36 is: 35,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,259.36 : 97,932.72 = 23,706.36 : x
  2. Step 2: Convert to fraction form
    65,259.36/97,932.72 = 23,706.36/x
  3. Step 3: Cross multiply
    65,259.36x = 97,932.72 × 23,706.36
  4. Step 4: Simplify right side
    65,259.36x = 2,321,628,316.10
  5. Step 5: Solve for x
    x = 2,321,628,316.10/65,259.36
  6. Step 6: Final answer
    x = 35,575.41

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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.