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Finding the Fourth Proportional to 64,106.31, 88,466.75 and 35,812

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Solution

The fourth proportional to 64,106.31, 88,466.75 and 35,812 is: 49,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,106.31 : 88,466.75 = 35,812 : x
  2. Step 2: Convert to fraction form
    64,106.31/88,466.75 = 35,812/x
  3. Step 3: Cross multiply
    64,106.31x = 88,466.75 × 35,812
  4. Step 4: Simplify right side
    64,106.31x = 3,168,171,251
  5. Step 5: Solve for x
    x = 3,168,171,251/64,106.31
  6. Step 6: Final answer
    x = 49,420.58

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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.