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Finding the Fourth Proportional to 75,348.04, 103,978.24 and 41,356.48

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Solution

The fourth proportional to 75,348.04, 103,978.24 and 41,356.48 is: 57,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,348.04 : 103,978.24 = 41,356.48 : x
  2. Step 2: Convert to fraction form
    75,348.04/103,978.24 = 41,356.48/x
  3. Step 3: Cross multiply
    75,348.04x = 103,978.24 × 41,356.48
  4. Step 4: Simplify right side
    75,348.04x = 4,300,174,003.00
  5. Step 5: Solve for x
    x = 4,300,174,003.00/75,348.04
  6. Step 6: Final answer
    x = 57,070.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.