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Finding the Fourth Proportional to 97,765.37, 134,916.20 and 53,053.37

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Solution

The fourth proportional to 97,765.37, 134,916.20 and 53,053.37 is: 73,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,765.37 : 134,916.20 = 53,053.37 : x
  2. Step 2: Convert to fraction form
    97,765.37/134,916.20 = 53,053.37/x
  3. Step 3: Cross multiply
    97,765.37x = 134,916.20 × 53,053.37
  4. Step 4: Simplify right side
    97,765.37x = 7,157,758,137.75
  5. Step 5: Solve for x
    x = 7,157,758,137.75/97,765.37
  6. Step 6: Final answer
    x = 73,213.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.