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Finding the Fourth Proportional to 98,498.88, 147,668.64 and 30,996.48

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Solution

The fourth proportional to 98,498.88, 147,668.64 and 30,996.48 is: 46,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,498.88 : 147,668.64 = 30,996.48 : x
  2. Step 2: Convert to fraction form
    98,498.88/147,668.64 = 30,996.48/x
  3. Step 3: Cross multiply
    98,498.88x = 147,668.64 × 30,996.48
  4. Step 4: Simplify right side
    98,498.88x = 4,577,208,046.39
  5. Step 5: Solve for x
    x = 4,577,208,046.39/98,498.88
  6. Step 6: Final answer
    x = 46,469.65

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1.5x scale

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.