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Finding the Fourth Proportional to 98,400.96, 147,609.72 and 30,948.48

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Solution

The fourth proportional to 98,400.96, 147,609.72 and 30,948.48 is: 46,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,400.96 : 147,609.72 = 30,948.48 : x
  2. Step 2: Convert to fraction form
    98,400.96/147,609.72 = 30,948.48/x
  3. Step 3: Cross multiply
    98,400.96x = 147,609.72 × 30,948.48
  4. Step 4: Simplify right side
    98,400.96x = 4,568,296,467.23
  5. Step 5: Solve for x
    x = 4,568,296,467.23/98,400.96
  6. Step 6: Final answer
    x = 46,425.32

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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.