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Finding the Fourth Proportional to 53,536.90, 73,891.26 and 30,890.50

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Solution

The fourth proportional to 53,536.90, 73,891.26 and 30,890.50 is: 42,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,536.90 : 73,891.26 = 30,890.50 : x
  2. Step 2: Convert to fraction form
    53,536.90/73,891.26 = 30,890.50/x
  3. Step 3: Cross multiply
    53,536.90x = 73,891.26 × 30,890.50
  4. Step 4: Simplify right side
    53,536.90x = 2,282,537,967.03
  5. Step 5: Solve for x
    x = 2,282,537,967.03/53,536.90
  6. Step 6: Final answer
    x = 42,634.85

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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.