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Finding the Fourth Proportional to 74,354.36, 102,039.85 and 73,829.48

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Solution

The fourth proportional to 74,354.36, 102,039.85 and 73,829.48 is: 101,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,354.36 : 102,039.85 = 73,829.48 : x
  2. Step 2: Convert to fraction form
    74,354.36/102,039.85 = 73,829.48/x
  3. Step 3: Cross multiply
    74,354.36x = 102,039.85 × 73,829.48
  4. Step 4: Simplify right side
    74,354.36x = 7,533,549,064.78
  5. Step 5: Solve for x
    x = 7,533,549,064.78/74,354.36
  6. Step 6: Final answer
    x = 101,319.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.