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Finding the Fourth Proportional to 77,806.60, 116,712.30 and 30,419.80

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Solution

The fourth proportional to 77,806.60, 116,712.30 and 30,419.80 is: 45,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,806.60 : 116,712.30 = 30,419.80 : x
  2. Step 2: Convert to fraction form
    77,806.60/116,712.30 = 30,419.80/x
  3. Step 3: Cross multiply
    77,806.60x = 116,712.30 × 30,419.80
  4. Step 4: Simplify right side
    77,806.60x = 3,550,364,823.54
  5. Step 5: Solve for x
    x = 3,550,364,823.54/77,806.60
  6. Step 6: Final answer
    x = 45,630.64

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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.