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Finding the Fourth Proportional to 77,909.98, 116,968.68 and 52,694.20

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Solution

The fourth proportional to 77,909.98, 116,968.68 and 52,694.20 is: 79,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,909.98 : 116,968.68 = 52,694.20 : x
  2. Step 2: Convert to fraction form
    77,909.98/116,968.68 = 52,694.20/x
  3. Step 3: Cross multiply
    77,909.98x = 116,968.68 × 52,694.20
  4. Step 4: Simplify right side
    77,909.98x = 6,163,571,017.66
  5. Step 5: Solve for x
    x = 6,163,571,017.66/77,909.98
  6. Step 6: Final answer
    x = 79,111.44

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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.