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Finding the Fourth Proportional to 65,164.28, 97,678.02 and 27,715.64

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Solution

The fourth proportional to 65,164.28, 97,678.02 and 27,715.64 is: 41,544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,164.28 : 97,678.02 = 27,715.64 : x
  2. Step 2: Convert to fraction form
    65,164.28/97,678.02 = 27,715.64/x
  3. Step 3: Cross multiply
    65,164.28x = 97,678.02 × 27,715.64
  4. Step 4: Simplify right side
    65,164.28x = 2,707,208,838.23
  5. Step 5: Solve for x
    x = 2,707,208,838.23/65,164.28
  6. Step 6: Final answer
    x = 41,544.37

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1.5x scale

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.