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Finding the Fourth Proportional to 64,544.10, 89,072 and 35,866.41

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Solution

The fourth proportional to 64,544.10, 89,072 and 35,866.41 is: 49,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,544.10 : 89,072 = 35,866.41 : x
  2. Step 2: Convert to fraction form
    64,544.10/89,072 = 35,866.41/x
  3. Step 3: Cross multiply
    64,544.10x = 89,072 × 35,866.41
  4. Step 4: Simplify right side
    64,544.10x = 3,194,692,871.52
  5. Step 5: Solve for x
    x = 3,194,692,871.52/64,544.10
  6. Step 6: Final answer
    x = 49,496.28

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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.