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Finding the Fourth Proportional to 64,778.64, 97,148.36 and 22,650.87

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Solution

The fourth proportional to 64,778.64, 97,148.36 and 22,650.87 is: 33,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,778.64 : 97,148.36 = 22,650.87 : x
  2. Step 2: Convert to fraction form
    64,778.64/97,148.36 = 22,650.87/x
  3. Step 3: Cross multiply
    64,778.64x = 97,148.36 × 22,650.87
  4. Step 4: Simplify right side
    64,778.64x = 2,200,495,294.01
  5. Step 5: Solve for x
    x = 2,200,495,294.01/64,778.64
  6. Step 6: Final answer
    x = 33,969.46

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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.