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Finding the Fourth Proportional to 49,978.22, 75,004.45 and 23,683.05

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Solution

The fourth proportional to 49,978.22, 75,004.45 and 23,683.05 is: 35,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,978.22 : 75,004.45 = 23,683.05 : x
  2. Step 2: Convert to fraction form
    49,978.22/75,004.45 = 23,683.05/x
  3. Step 3: Cross multiply
    49,978.22x = 75,004.45 × 23,683.05
  4. Step 4: Simplify right side
    49,978.22x = 1,776,334,080.36
  5. Step 5: Solve for x
    x = 1,776,334,080.36/49,978.22
  6. Step 6: Final answer
    x = 35,542.17

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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.