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Finding the Fourth Proportional to 49,995.54, 74,978.70 and 23,693.22

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Solution

The fourth proportional to 49,995.54, 74,978.70 and 23,693.22 is: 35,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,995.54 : 74,978.70 = 23,693.22 : x
  2. Step 2: Convert to fraction form
    49,995.54/74,978.70 = 23,693.22/x
  3. Step 3: Cross multiply
    49,995.54x = 74,978.70 × 23,693.22
  4. Step 4: Simplify right side
    49,995.54x = 1,776,486,834.41
  5. Step 5: Solve for x
    x = 1,776,486,834.41/49,995.54
  6. Step 6: Final answer
    x = 35,532.91

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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.