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Finding the Fourth Proportional to 34,495.56, 51,733.34 and 13,430.90

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Solution

The fourth proportional to 34,495.56, 51,733.34 and 13,430.90 is: 20,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,495.56 : 51,733.34 = 13,430.90 : x
  2. Step 2: Convert to fraction form
    34,495.56/51,733.34 = 13,430.90/x
  3. Step 3: Cross multiply
    34,495.56x = 51,733.34 × 13,430.90
  4. Step 4: Simplify right side
    34,495.56x = 694,825,316.21
  5. Step 5: Solve for x
    x = 694,825,316.21/34,495.56
  6. Step 6: Final answer
    x = 20,142.46

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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.