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Finding the Fourth Proportional to 77,713.64, 116,541.90 and 27,780.20

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Solution

The fourth proportional to 77,713.64, 116,541.90 and 27,780.20 is: 41,660.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,713.64 : 116,541.90 = 27,780.20 : x
  2. Step 2: Convert to fraction form
    77,713.64/116,541.90 = 27,780.20/x
  3. Step 3: Cross multiply
    77,713.64x = 116,541.90 × 27,780.20
  4. Step 4: Simplify right side
    77,713.64x = 3,237,556,707.67
  5. Step 5: Solve for x
    x = 3,237,556,707.67/77,713.64
  6. Step 6: Final answer
    x = 41,660.09

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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.