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Finding the Fourth Proportional to 75,082.16, 103,576.88 and 49,598.48

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Solution

The fourth proportional to 75,082.16, 103,576.88 and 49,598.48 is: 68,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082.16 : 103,576.88 = 49,598.48 : x
  2. Step 2: Convert to fraction form
    75,082.16/103,576.88 = 49,598.48/x
  3. Step 3: Cross multiply
    75,082.16x = 103,576.88 × 49,598.48
  4. Step 4: Simplify right side
    75,082.16x = 5,137,255,811.14
  5. Step 5: Solve for x
    x = 5,137,255,811.14/75,082.16
  6. Step 6: Final answer
    x = 68,421.79

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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.