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Finding the Fourth Proportional to 77,729, 116,594.54 and 24,419.24

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Solution

The fourth proportional to 77,729, 116,594.54 and 24,419.24 is: 36,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,729 : 116,594.54 = 24,419.24 : x
  2. Step 2: Convert to fraction form
    77,729/116,594.54 = 24,419.24/x
  3. Step 3: Cross multiply
    77,729x = 116,594.54 × 24,419.24
  4. Step 4: Simplify right side
    77,729x = 2,847,150,054.95
  5. Step 5: Solve for x
    x = 2,847,150,054.95/77,729
  6. Step 6: Final answer
    x = 36,629.19

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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.