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Finding the Fourth Proportional to 65,106.72, 97,660.08 and 23,544

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Solution

The fourth proportional to 65,106.72, 97,660.08 and 23,544 is: 35,316

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106.72 : 97,660.08 = 23,544 : x
  2. Step 2: Convert to fraction form
    65,106.72/97,660.08 = 23,544/x
  3. Step 3: Cross multiply
    65,106.72x = 97,660.08 × 23,544
  4. Step 4: Simplify right side
    65,106.72x = 2,299,308,923.52
  5. Step 5: Solve for x
    x = 2,299,308,923.52/65,106.72
  6. Step 6: Final answer
    x = 35,316

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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.