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Finding the Fourth Proportional to 65,163.78, 97,779.60 and 35,576.10

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Solution

The fourth proportional to 65,163.78, 97,779.60 and 35,576.10 is: 53,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,163.78 : 97,779.60 = 35,576.10 : x
  2. Step 2: Convert to fraction form
    65,163.78/97,779.60 = 35,576.10/x
  3. Step 3: Cross multiply
    65,163.78x = 97,779.60 × 35,576.10
  4. Step 4: Simplify right side
    65,163.78x = 3,478,616,827.56
  5. Step 5: Solve for x
    x = 3,478,616,827.56/65,163.78
  6. Step 6: Final answer
    x = 53,382.67

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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.