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Finding the Fourth Proportional to 73,164.50, 100,971.33 and 41,332.58

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Solution

The fourth proportional to 73,164.50, 100,971.33 and 41,332.58 is: 57,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,164.50 : 100,971.33 = 41,332.58 : x
  2. Step 2: Convert to fraction form
    73,164.50/100,971.33 = 41,332.58/x
  3. Step 3: Cross multiply
    73,164.50x = 100,971.33 × 41,332.58
  4. Step 4: Simplify right side
    73,164.50x = 4,173,405,574.93
  5. Step 5: Solve for x
    x = 4,173,405,574.93/73,164.50
  6. Step 6: Final answer
    x = 57,041.40

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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.