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Finding the Fourth Proportional to 52,752.33, 72,730.31 and 33,882.57

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Solution

The fourth proportional to 52,752.33, 72,730.31 and 33,882.57 is: 46,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,752.33 : 72,730.31 = 33,882.57 : x
  2. Step 2: Convert to fraction form
    52,752.33/72,730.31 = 33,882.57/x
  3. Step 3: Cross multiply
    52,752.33x = 72,730.31 × 33,882.57
  4. Step 4: Simplify right side
    52,752.33x = 2,464,289,650.28
  5. Step 5: Solve for x
    x = 2,464,289,650.28/52,752.33
  6. Step 6: Final answer
    x = 46,714.33

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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.