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Finding the Fourth Proportional to 77,758.79, 116,650.53 and 27,825.12

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Solution

The fourth proportional to 77,758.79, 116,650.53 and 27,825.12 is: 41,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,758.79 : 116,650.53 = 27,825.12 : x
  2. Step 2: Convert to fraction form
    77,758.79/116,650.53 = 27,825.12/x
  3. Step 3: Cross multiply
    77,758.79x = 116,650.53 × 27,825.12
  4. Step 4: Simplify right side
    77,758.79x = 3,245,814,995.31
  5. Step 5: Solve for x
    x = 3,245,814,995.31/77,758.79
  6. Step 6: Final answer
    x = 41,742.10

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1.5x scale

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.