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Finding the Fourth Proportional to 32,698.93, 45,138.24 and 22,102.92

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Solution

The fourth proportional to 32,698.93, 45,138.24 and 22,102.92 is: 30,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,698.93 : 45,138.24 = 22,102.92 : x
  2. Step 2: Convert to fraction form
    32,698.93/45,138.24 = 22,102.92/x
  3. Step 3: Cross multiply
    32,698.93x = 45,138.24 × 22,102.92
  4. Step 4: Simplify right side
    32,698.93x = 997,686,907.66
  5. Step 5: Solve for x
    x = 997,686,907.66/32,698.93
  6. Step 6: Final answer
    x = 30,511.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.