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Finding the Fourth Proportional to 59,458.44, 82,055.16 and 33,969

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Solution

The fourth proportional to 59,458.44, 82,055.16 and 33,969 is: 46,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,458.44 : 82,055.16 = 33,969 : x
  2. Step 2: Convert to fraction form
    59,458.44/82,055.16 = 33,969/x
  3. Step 3: Cross multiply
    59,458.44x = 82,055.16 × 33,969
  4. Step 4: Simplify right side
    59,458.44x = 2,787,331,730.04
  5. Step 5: Solve for x
    x = 2,787,331,730.04/59,458.44
  6. Step 6: Final answer
    x = 46,878.66

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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.