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Finding the Fourth Proportional to 49,497, 74,059.50 and 34,734.72

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Solution

The fourth proportional to 49,497, 74,059.50 and 34,734.72 is: 51,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,497 : 74,059.50 = 34,734.72 : x
  2. Step 2: Convert to fraction form
    49,497/74,059.50 = 34,734.72/x
  3. Step 3: Cross multiply
    49,497x = 74,059.50 × 34,734.72
  4. Step 4: Simplify right side
    49,497x = 2,572,435,995.84
  5. Step 5: Solve for x
    x = 2,572,435,995.84/49,497
  6. Step 6: Final answer
    x = 51,971.55

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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.