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Finding the Fourth Proportional to 60,419.75, 83,379.21 and 33,564.75

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Solution

The fourth proportional to 60,419.75, 83,379.21 and 33,564.75 is: 46,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,419.75 : 83,379.21 = 33,564.75 : x
  2. Step 2: Convert to fraction form
    60,419.75/83,379.21 = 33,564.75/x
  3. Step 3: Cross multiply
    60,419.75x = 83,379.21 × 33,564.75
  4. Step 4: Simplify right side
    60,419.75x = 2,798,602,369.32
  5. Step 5: Solve for x
    x = 2,798,602,369.32/60,419.75
  6. Step 6: Final answer
    x = 46,319.33

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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.