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Finding the Fourth Proportional to 70,507.91, 105,714.54 and 27,774.26

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Solution

The fourth proportional to 70,507.91, 105,714.54 and 27,774.26 is: 41,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,507.91 : 105,714.54 = 27,774.26 : x
  2. Step 2: Convert to fraction form
    70,507.91/105,714.54 = 27,774.26/x
  3. Step 3: Cross multiply
    70,507.91x = 105,714.54 × 27,774.26
  4. Step 4: Simplify right side
    70,507.91x = 2,936,143,119.74
  5. Step 5: Solve for x
    x = 2,936,143,119.74/70,507.91
  6. Step 6: Final answer
    x = 41,642.75

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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.