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Finding the Fourth Proportional to 51,462.69, 77,194.12 and 33,804.88

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Solution

The fourth proportional to 51,462.69, 77,194.12 and 33,804.88 is: 50,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,462.69 : 77,194.12 = 33,804.88 : x
  2. Step 2: Convert to fraction form
    51,462.69/77,194.12 = 33,804.88/x
  3. Step 3: Cross multiply
    51,462.69x = 77,194.12 × 33,804.88
  4. Step 4: Simplify right side
    51,462.69x = 2,609,537,963.31
  5. Step 5: Solve for x
    x = 2,609,537,963.31/51,462.69
  6. Step 6: Final answer
    x = 50,707.38

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1.5x scale

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.