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Finding the Fourth Proportional to 124,576.63, 186,864.98 and 31,082.38

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Solution

The fourth proportional to 124,576.63, 186,864.98 and 31,082.38 is: 46,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,576.63 : 186,864.98 = 31,082.38 : x
  2. Step 2: Convert to fraction form
    124,576.63/186,864.98 = 31,082.38/x
  3. Step 3: Cross multiply
    124,576.63x = 186,864.98 × 31,082.38
  4. Step 4: Simplify right side
    124,576.63x = 5,808,207,694.48
  5. Step 5: Solve for x
    x = 5,808,207,694.48/124,576.63
  6. Step 6: Final answer
    x = 46,623.57

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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.