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Finding the Fourth Proportional to 82,730.24, 114,168 and 45,004.48

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Solution

The fourth proportional to 82,730.24, 114,168 and 45,004.48 is: 62,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,730.24 : 114,168 = 45,004.48 : x
  2. Step 2: Convert to fraction form
    82,730.24/114,168 = 45,004.48/x
  3. Step 3: Cross multiply
    82,730.24x = 114,168 × 45,004.48
  4. Step 4: Simplify right side
    82,730.24x = 5,138,071,472.64
  5. Step 5: Solve for x
    x = 5,138,071,472.64/82,730.24
  6. Step 6: Final answer
    x = 62,106.33

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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.