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Finding the Fourth Proportional to 73,172.64, 100,978.02 and 41,341.52

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Solution

The fourth proportional to 73,172.64, 100,978.02 and 41,341.52 is: 57,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,172.64 : 100,978.02 = 41,341.52 : x
  2. Step 2: Convert to fraction form
    73,172.64/100,978.02 = 41,341.52/x
  3. Step 3: Cross multiply
    73,172.64x = 100,978.02 × 41,341.52
  4. Step 4: Simplify right side
    73,172.64x = 4,174,584,833.39
  5. Step 5: Solve for x
    x = 4,174,584,833.39/73,172.64
  6. Step 6: Final answer
    x = 57,051.17

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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.