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Finding the Fourth Proportional to 51,215.34, 70,736.02 and 34,189.94

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Solution

The fourth proportional to 51,215.34, 70,736.02 and 34,189.94 is: 47,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,215.34 : 70,736.02 = 34,189.94 : x
  2. Step 2: Convert to fraction form
    51,215.34/70,736.02 = 34,189.94/x
  3. Step 3: Cross multiply
    51,215.34x = 70,736.02 × 34,189.94
  4. Step 4: Simplify right side
    51,215.34x = 2,418,460,279.64
  5. Step 5: Solve for x
    x = 2,418,460,279.64/51,215.34
  6. Step 6: Final answer
    x = 47,221.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.