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Finding the Fourth Proportional to 64,673.60, 97,121.10 and 35,149.10

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Solution

The fourth proportional to 64,673.60, 97,121.10 and 35,149.10 is: 52,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,673.60 : 97,121.10 = 35,149.10 : x
  2. Step 2: Convert to fraction form
    64,673.60/97,121.10 = 35,149.10/x
  3. Step 3: Cross multiply
    64,673.60x = 97,121.10 × 35,149.10
  4. Step 4: Simplify right side
    64,673.60x = 3,413,719,256.01
  5. Step 5: Solve for x
    x = 3,413,719,256.01/64,673.60
  6. Step 6: Final answer
    x = 52,783.81

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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.