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Finding the Fourth Proportional to 32,698.96, 48,960.32 and 20,788.31

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Solution

The fourth proportional to 32,698.96, 48,960.32 and 20,788.31 is: 31,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,698.96 : 48,960.32 = 20,788.31 : x
  2. Step 2: Convert to fraction form
    32,698.96/48,960.32 = 20,788.31/x
  3. Step 3: Cross multiply
    32,698.96x = 48,960.32 × 20,788.31
  4. Step 4: Simplify right side
    32,698.96x = 1,017,802,328.32
  5. Step 5: Solve for x
    x = 1,017,802,328.32/32,698.96
  6. Step 6: Final answer
    x = 31,126.45

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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.