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Finding the Fourth Proportional to 38,787.76, 53,528.76 and 22,022.32

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Solution

The fourth proportional to 38,787.76, 53,528.76 and 22,022.32 is: 30,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,787.76 : 53,528.76 = 22,022.32 : x
  2. Step 2: Convert to fraction form
    38,787.76/53,528.76 = 22,022.32/x
  3. Step 3: Cross multiply
    38,787.76x = 53,528.76 × 22,022.32
  4. Step 4: Simplify right side
    38,787.76x = 1,178,827,481.92
  5. Step 5: Solve for x
    x = 1,178,827,481.92/38,787.76
  6. Step 6: Final answer
    x = 30,391.74

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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.