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Finding the Fourth Proportional to 47,152, 65,069.76 and 25,932.64

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Solution

The fourth proportional to 47,152, 65,069.76 and 25,932.64 is: 35,787.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,152 : 65,069.76 = 25,932.64 : x
  2. Step 2: Convert to fraction form
    47,152/65,069.76 = 25,932.64/x
  3. Step 3: Cross multiply
    47,152x = 65,069.76 × 25,932.64
  4. Step 4: Simplify right side
    47,152x = 1,687,430,660.97
  5. Step 5: Solve for x
    x = 1,687,430,660.97/47,152
  6. Step 6: Final answer
    x = 35,787.04

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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.