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Finding the Fourth Proportional to 73,166.98, 109,748 and 31,019.96

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Solution

The fourth proportional to 73,166.98, 109,748 and 31,019.96 is: 46,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,166.98 : 109,748 = 31,019.96 : x
  2. Step 2: Convert to fraction form
    73,166.98/109,748 = 31,019.96/x
  3. Step 3: Cross multiply
    73,166.98x = 109,748 × 31,019.96
  4. Step 4: Simplify right side
    73,166.98x = 3,404,378,570.08
  5. Step 5: Solve for x
    x = 3,404,378,570.08/73,166.98
  6. Step 6: Final answer
    x = 46,528.89

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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.