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Finding the Fourth Proportional to 38,783.32, 53,520.95 and 22,016.32

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Solution

The fourth proportional to 38,783.32, 53,520.95 and 22,016.32 is: 30,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,783.32 : 53,520.95 = 22,016.32 : x
  2. Step 2: Convert to fraction form
    38,783.32/53,520.95 = 22,016.32/x
  3. Step 3: Cross multiply
    38,783.32x = 53,520.95 × 22,016.32
  4. Step 4: Simplify right side
    38,783.32x = 1,178,333,984.22
  5. Step 5: Solve for x
    x = 1,178,333,984.22/38,783.32
  6. Step 6: Final answer
    x = 30,382.50

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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.