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Finding the Fourth Proportional to 64,161, 96,177.51 and 30,871.62

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Solution

The fourth proportional to 64,161, 96,177.51 and 30,871.62 is: 46,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,161 : 96,177.51 = 30,871.62 : x
  2. Step 2: Convert to fraction form
    64,161/96,177.51 = 30,871.62/x
  3. Step 3: Cross multiply
    64,161x = 96,177.51 × 30,871.62
  4. Step 4: Simplify right side
    64,161x = 2,969,155,541.27
  5. Step 5: Solve for x
    x = 2,969,155,541.27/64,161
  6. Step 6: Final answer
    x = 46,276.64

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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.