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Finding the Fourth Proportional to 44,509.92, 61,423.56 and 25,647

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Solution

The fourth proportional to 44,509.92, 61,423.56 and 25,647 is: 35,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,509.92 : 61,423.56 = 25,647 : x
  2. Step 2: Convert to fraction form
    44,509.92/61,423.56 = 25,647/x
  3. Step 3: Cross multiply
    44,509.92x = 61,423.56 × 25,647
  4. Step 4: Simplify right side
    44,509.92x = 1,575,330,043.32
  5. Step 5: Solve for x
    x = 1,575,330,043.32/44,509.92
  6. Step 6: Final answer
    x = 35,392.79

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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.