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Finding the Fourth Proportional to 77,881.80, 116,826.84 and 25,287.42

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Solution

The fourth proportional to 77,881.80, 116,826.84 and 25,287.42 is: 37,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,881.80 : 116,826.84 = 25,287.42 : x
  2. Step 2: Convert to fraction form
    77,881.80/116,826.84 = 25,287.42/x
  3. Step 3: Cross multiply
    77,881.80x = 116,826.84 × 25,287.42
  4. Step 4: Simplify right side
    77,881.80x = 2,954,249,370.35
  5. Step 5: Solve for x
    x = 2,954,249,370.35/77,881.80
  6. Step 6: Final answer
    x = 37,932.47

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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.