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Finding the Fourth Proportional to 64,503.59, 96,730.77 and 30,763.64

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Solution

The fourth proportional to 64,503.59, 96,730.77 and 30,763.64 is: 46,133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,503.59 : 96,730.77 = 30,763.64 : x
  2. Step 2: Convert to fraction form
    64,503.59/96,730.77 = 30,763.64/x
  3. Step 3: Cross multiply
    64,503.59x = 96,730.77 × 30,763.64
  4. Step 4: Simplify right side
    64,503.59x = 2,975,790,942.39
  5. Step 5: Solve for x
    x = 2,975,790,942.39/64,503.59
  6. Step 6: Final answer
    x = 46,133.73

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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.