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Finding the Fourth Proportional to 78,566, 117,852.66 and 22,409.96

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Solution

The fourth proportional to 78,566, 117,852.66 and 22,409.96 is: 33,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,566 : 117,852.66 = 22,409.96 : x
  2. Step 2: Convert to fraction form
    78,566/117,852.66 = 22,409.96/x
  3. Step 3: Cross multiply
    78,566x = 117,852.66 × 22,409.96
  4. Step 4: Simplify right side
    78,566x = 2,641,073,396.49
  5. Step 5: Solve for x
    x = 2,641,073,396.49/78,566
  6. Step 6: Final answer
    x = 33,615.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.