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Finding the Fourth Proportional to 76,041.74, 114,082.06 and 31,653.74

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Solution

The fourth proportional to 76,041.74, 114,082.06 and 31,653.74 is: 47,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,041.74 : 114,082.06 = 31,653.74 : x
  2. Step 2: Convert to fraction form
    76,041.74/114,082.06 = 31,653.74/x
  3. Step 3: Cross multiply
    76,041.74x = 114,082.06 × 31,653.74
  4. Step 4: Simplify right side
    76,041.74x = 3,611,123,865.90
  5. Step 5: Solve for x
    x = 3,611,123,865.90/76,041.74
  6. Step 6: Final answer
    x = 47,488.71

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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.