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Finding the Fourth Proportional to 65,037.36, 97,480.02 and 27,584.76

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Solution

The fourth proportional to 65,037.36, 97,480.02 and 27,584.76 is: 41,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,037.36 : 97,480.02 = 27,584.76 : x
  2. Step 2: Convert to fraction form
    65,037.36/97,480.02 = 27,584.76/x
  3. Step 3: Cross multiply
    65,037.36x = 97,480.02 × 27,584.76
  4. Step 4: Simplify right side
    65,037.36x = 2,688,962,956.50
  5. Step 5: Solve for x
    x = 2,688,962,956.50/65,037.36
  6. Step 6: Final answer
    x = 41,344.90

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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.