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Finding the Fourth Proportional to 82,913.36, 114,420.44 and 45,187.61

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Solution

The fourth proportional to 82,913.36, 114,420.44 and 45,187.61 is: 62,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,913.36 : 114,420.44 = 45,187.61 : x
  2. Step 2: Convert to fraction form
    82,913.36/114,420.44 = 45,187.61/x
  3. Step 3: Cross multiply
    82,913.36x = 114,420.44 × 45,187.61
  4. Step 4: Simplify right side
    82,913.36x = 5,170,386,218.75
  5. Step 5: Solve for x
    x = 5,170,386,218.75/82,913.36
  6. Step 6: Final answer
    x = 62,358.90

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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.