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Finding the Fourth Proportional to 49,654, 74,435.64 and 45,325.36

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Solution

The fourth proportional to 49,654, 74,435.64 and 45,325.36 is: 67,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,654 : 74,435.64 = 45,325.36 : x
  2. Step 2: Convert to fraction form
    49,654/74,435.64 = 45,325.36/x
  3. Step 3: Cross multiply
    49,654x = 74,435.64 × 45,325.36
  4. Step 4: Simplify right side
    49,654x = 3,373,822,179.83
  5. Step 5: Solve for x
    x = 3,373,822,179.83/49,654
  6. Step 6: Final answer
    x = 67,946.63

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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.