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Finding the Fourth Proportional to 82,863.07, 114,347.10 and 47,048.38

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Solution

The fourth proportional to 82,863.07, 114,347.10 and 47,048.38 is: 64,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,863.07 : 114,347.10 = 47,048.38 : x
  2. Step 2: Convert to fraction form
    82,863.07/114,347.10 = 47,048.38/x
  3. Step 3: Cross multiply
    82,863.07x = 114,347.10 × 47,048.38
  4. Step 4: Simplify right side
    82,863.07x = 5,379,845,812.70
  5. Step 5: Solve for x
    x = 5,379,845,812.70/82,863.07
  6. Step 6: Final answer
    x = 64,924.53

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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.