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Finding the Fourth Proportional to 124,576.19, 186,749.17 and 49,678.13

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Solution

The fourth proportional to 124,576.19, 186,749.17 and 49,678.13 is: 74,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,576.19 : 186,749.17 = 49,678.13 : x
  2. Step 2: Convert to fraction form
    124,576.19/186,749.17 = 49,678.13/x
  3. Step 3: Cross multiply
    124,576.19x = 186,749.17 × 49,678.13
  4. Step 4: Simplify right side
    124,576.19x = 9,277,349,544.65
  5. Step 5: Solve for x
    x = 9,277,349,544.65/124,576.19
  6. Step 6: Final answer
    x = 74,471.29

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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.