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Finding the Fourth Proportional to 61,878.51, 85,392.33 and 33,584.20

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Solution

The fourth proportional to 61,878.51, 85,392.33 and 33,584.20 is: 46,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,878.51 : 85,392.33 = 33,584.20 : x
  2. Step 2: Convert to fraction form
    61,878.51/85,392.33 = 33,584.20/x
  3. Step 3: Cross multiply
    61,878.51x = 85,392.33 × 33,584.20
  4. Step 4: Simplify right side
    61,878.51x = 2,867,833,089.19
  5. Step 5: Solve for x
    x = 2,867,833,089.19/61,878.51
  6. Step 6: Final answer
    x = 46,346.19

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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.