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Finding the Fourth Proportional to 77,308.40, 115,973.40 and 32,934.80

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Solution

The fourth proportional to 77,308.40, 115,973.40 and 32,934.80 is: 49,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,308.40 : 115,973.40 = 32,934.80 : x
  2. Step 2: Convert to fraction form
    77,308.40/115,973.40 = 32,934.80/x
  3. Step 3: Cross multiply
    77,308.40x = 115,973.40 × 32,934.80
  4. Step 4: Simplify right side
    77,308.40x = 3,819,560,734.32
  5. Step 5: Solve for x
    x = 3,819,560,734.32/77,308.40
  6. Step 6: Final answer
    x = 49,406.80

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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.