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Finding the Fourth Proportional to 82,959.84, 114,484.32 and 45,234

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Solution

The fourth proportional to 82,959.84, 114,484.32 and 45,234 is: 62,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,959.84 : 114,484.32 = 45,234 : x
  2. Step 2: Convert to fraction form
    82,959.84/114,484.32 = 45,234/x
  3. Step 3: Cross multiply
    82,959.84x = 114,484.32 × 45,234
  4. Step 4: Simplify right side
    82,959.84x = 5,178,583,730.88
  5. Step 5: Solve for x
    x = 5,178,583,730.88/82,959.84
  6. Step 6: Final answer
    x = 62,422.78

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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.