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Finding the Fourth Proportional to 73,526.75, 110,290.14 and 31,973.75

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Solution

The fourth proportional to 73,526.75, 110,290.14 and 31,973.75 is: 47,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,526.75 : 110,290.14 = 31,973.75 : x
  2. Step 2: Convert to fraction form
    73,526.75/110,290.14 = 31,973.75/x
  3. Step 3: Cross multiply
    73,526.75x = 110,290.14 × 31,973.75
  4. Step 4: Simplify right side
    73,526.75x = 3,526,389,363.83
  5. Step 5: Solve for x
    x = 3,526,389,363.83/73,526.75
  6. Step 6: Final answer
    x = 47,960.63

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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.