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Finding the Fourth Proportional to 77,714.91, 116,559.95 and 27,785.70

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Solution

The fourth proportional to 77,714.91, 116,559.95 and 27,785.70 is: 41,674.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,714.91 : 116,559.95 = 27,785.70 : x
  2. Step 2: Convert to fraction form
    77,714.91/116,559.95 = 27,785.70/x
  3. Step 3: Cross multiply
    77,714.91x = 116,559.95 × 27,785.70
  4. Step 4: Simplify right side
    77,714.91x = 3,238,699,663.79
  5. Step 5: Solve for x
    x = 3,238,699,663.79/77,714.91
  6. Step 6: Final answer
    x = 41,674.11

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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.