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Finding the Fourth Proportional to 82,872.38, 114,364.64 and 45,146.63

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Solution

The fourth proportional to 82,872.38, 114,364.64 and 45,146.63 is: 62,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,872.38 : 114,364.64 = 45,146.63 : x
  2. Step 2: Convert to fraction form
    82,872.38/114,364.64 = 45,146.63/x
  3. Step 3: Cross multiply
    82,872.38x = 114,364.64 × 45,146.63
  4. Step 4: Simplify right side
    82,872.38x = 5,163,178,087.16
  5. Step 5: Solve for x
    x = 5,163,178,087.16/82,872.38
  6. Step 6: Final answer
    x = 62,302.76

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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.