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Finding the Fourth Proportional to 58,509.14, 80,742.81 and 31,651.76

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Solution

The fourth proportional to 58,509.14, 80,742.81 and 31,651.76 is: 43,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,509.14 : 80,742.81 = 31,651.76 : x
  2. Step 2: Convert to fraction form
    58,509.14/80,742.81 = 31,651.76/x
  3. Step 3: Cross multiply
    58,509.14x = 80,742.81 × 31,651.76
  4. Step 4: Simplify right side
    58,509.14x = 2,555,652,043.85
  5. Step 5: Solve for x
    x = 2,555,652,043.85/58,509.14
  6. Step 6: Final answer
    x = 43,679.54

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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.