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Finding the Fourth Proportional to 129,651.76, 194,477.62 and 31,155.76

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Solution

The fourth proportional to 129,651.76, 194,477.62 and 31,155.76 is: 46,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,651.76 : 194,477.62 = 31,155.76 : x
  2. Step 2: Convert to fraction form
    129,651.76/194,477.62 = 31,155.76/x
  3. Step 3: Cross multiply
    129,651.76x = 194,477.62 × 31,155.76
  4. Step 4: Simplify right side
    129,651.76x = 6,059,098,054.09
  5. Step 5: Solve for x
    x = 6,059,098,054.09/129,651.76
  6. Step 6: Final answer
    x = 46,733.64

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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.