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Finding the Fourth Proportional to 77,573.44, 116,357.84 and 21,416.97

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Solution

The fourth proportional to 77,573.44, 116,357.84 and 21,416.97 is: 32,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,573.44 : 116,357.84 = 21,416.97 : x
  2. Step 2: Convert to fraction form
    77,573.44/116,357.84 = 21,416.97/x
  3. Step 3: Cross multiply
    77,573.44x = 116,357.84 × 21,416.97
  4. Step 4: Simplify right side
    77,573.44x = 2,492,032,368.54
  5. Step 5: Solve for x
    x = 2,492,032,368.54/77,573.44
  6. Step 6: Final answer
    x = 32,124.81

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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.