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Finding the Fourth Proportional to 64,176.69, 96,173.76 and 30,406.71

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Solution

The fourth proportional to 64,176.69, 96,173.76 and 30,406.71 is: 45,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,176.69 : 96,173.76 = 30,406.71 : x
  2. Step 2: Convert to fraction form
    64,176.69/96,173.76 = 30,406.71/x
  3. Step 3: Cross multiply
    64,176.69x = 96,173.76 × 30,406.71
  4. Step 4: Simplify right side
    64,176.69x = 2,924,327,629.93
  5. Step 5: Solve for x
    x = 2,924,327,629.93/64,176.69
  6. Step 6: Final answer
    x = 45,566.82

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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.