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Finding the Fourth Proportional to 65,022.13, 97,533.19 and 18,275

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Solution

The fourth proportional to 65,022.13, 97,533.19 and 18,275 is: 27,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022.13 : 97,533.19 = 18,275 : x
  2. Step 2: Convert to fraction form
    65,022.13/97,533.19 = 18,275/x
  3. Step 3: Cross multiply
    65,022.13x = 97,533.19 × 18,275
  4. Step 4: Simplify right side
    65,022.13x = 1,782,419,047.25
  5. Step 5: Solve for x
    x = 1,782,419,047.25/65,022.13
  6. Step 6: Final answer
    x = 27,412.50

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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.