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Finding the Fourth Proportional to 52,966.32, 73,033.62 and 33,820.92

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Solution

The fourth proportional to 52,966.32, 73,033.62 and 33,820.92 is: 46,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,966.32 : 73,033.62 = 33,820.92 : x
  2. Step 2: Convert to fraction form
    52,966.32/73,033.62 = 33,820.92/x
  3. Step 3: Cross multiply
    52,966.32x = 73,033.62 × 33,820.92
  4. Step 4: Simplify right side
    52,966.32x = 2,470,064,219.33
  5. Step 5: Solve for x
    x = 2,470,064,219.33/52,966.32
  6. Step 6: Final answer
    x = 46,634.62

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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.