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Finding the Fourth Proportional to 82,598.16, 113,986.26 and 44,872.68

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Solution

The fourth proportional to 82,598.16, 113,986.26 and 44,872.68 is: 61,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,598.16 : 113,986.26 = 44,872.68 : x
  2. Step 2: Convert to fraction form
    82,598.16/113,986.26 = 44,872.68/x
  3. Step 3: Cross multiply
    82,598.16x = 113,986.26 × 44,872.68
  4. Step 4: Simplify right side
    82,598.16x = 5,114,868,969.38
  5. Step 5: Solve for x
    x = 5,114,868,969.38/82,598.16
  6. Step 6: Final answer
    x = 61,924.73

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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.