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Finding the Fourth Proportional to 38,843.82, 53,602.88 and 22,933.40

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Solution

The fourth proportional to 38,843.82, 53,602.88 and 22,933.40 is: 31,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,843.82 : 53,602.88 = 22,933.40 : x
  2. Step 2: Convert to fraction form
    38,843.82/53,602.88 = 22,933.40/x
  3. Step 3: Cross multiply
    38,843.82x = 53,602.88 × 22,933.40
  4. Step 4: Simplify right side
    38,843.82x = 1,229,295,905.51
  5. Step 5: Solve for x
    x = 1,229,295,905.51/38,843.82
  6. Step 6: Final answer
    x = 31,647.14

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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.