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Finding the Fourth Proportional to 60,684.38, 83,744.83 and 33,828.58

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Solution

The fourth proportional to 60,684.38, 83,744.83 and 33,828.58 is: 46,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,684.38 : 83,744.83 = 33,828.58 : x
  2. Step 2: Convert to fraction form
    60,684.38/83,744.83 = 33,828.58/x
  3. Step 3: Cross multiply
    60,684.38x = 83,744.83 × 33,828.58
  4. Step 4: Simplify right side
    60,684.38x = 2,832,968,681.24
  5. Step 5: Solve for x
    x = 2,832,968,681.24/60,684.38
  6. Step 6: Final answer
    x = 46,683.66

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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.