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Finding the Fourth Proportional to 82,904.96, 114,410.24 and 45,179.20

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Solution

The fourth proportional to 82,904.96, 114,410.24 and 45,179.20 is: 62,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,904.96 : 114,410.24 = 45,179.20 : x
  2. Step 2: Convert to fraction form
    82,904.96/114,410.24 = 45,179.20/x
  3. Step 3: Cross multiply
    82,904.96x = 114,410.24 × 45,179.20
  4. Step 4: Simplify right side
    82,904.96x = 5,168,963,115.01
  5. Step 5: Solve for x
    x = 5,168,963,115.01/82,904.96
  6. Step 6: Final answer
    x = 62,348.06

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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.