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Finding the Fourth Proportional to 47,152.96, 65,071.56 and 25,932.40

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Solution

The fourth proportional to 47,152.96, 65,071.56 and 25,932.40 is: 35,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,152.96 : 65,071.56 = 25,932.40 : x
  2. Step 2: Convert to fraction form
    47,152.96/65,071.56 = 25,932.40/x
  3. Step 3: Cross multiply
    47,152.96x = 65,071.56 × 25,932.40
  4. Step 4: Simplify right side
    47,152.96x = 1,687,461,722.54
  5. Step 5: Solve for x
    x = 1,687,461,722.54/47,152.96
  6. Step 6: Final answer
    x = 35,786.97

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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.