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Finding the Fourth Proportional to 78,824.33, 108,779.88 and 43,016.64

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Solution

The fourth proportional to 78,824.33, 108,779.88 and 43,016.64 is: 59,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,824.33 : 108,779.88 = 43,016.64 : x
  2. Step 2: Convert to fraction form
    78,824.33/108,779.88 = 43,016.64/x
  3. Step 3: Cross multiply
    78,824.33x = 108,779.88 × 43,016.64
  4. Step 4: Simplify right side
    78,824.33x = 4,679,344,937.20
  5. Step 5: Solve for x
    x = 4,679,344,937.20/78,824.33
  6. Step 6: Final answer
    x = 59,364.22

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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.