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Finding the Fourth Proportional to 64,763.70, 97,112.46 and 29,673.30

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Solution

The fourth proportional to 64,763.70, 97,112.46 and 29,673.30 is: 44,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,763.70 : 97,112.46 = 29,673.30 : x
  2. Step 2: Convert to fraction form
    64,763.70/97,112.46 = 29,673.30/x
  3. Step 3: Cross multiply
    64,763.70x = 97,112.46 × 29,673.30
  4. Step 4: Simplify right side
    64,763.70x = 2,881,647,159.32
  5. Step 5: Solve for x
    x = 2,881,647,159.32/64,763.70
  6. Step 6: Final answer
    x = 44,494.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.