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Finding the Fourth Proportional to 82,966.68, 114,496.38 and 45,243

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Solution

The fourth proportional to 82,966.68, 114,496.38 and 45,243 is: 62,436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,966.68 : 114,496.38 = 45,243 : x
  2. Step 2: Convert to fraction form
    82,966.68/114,496.38 = 45,243/x
  3. Step 3: Cross multiply
    82,966.68x = 114,496.38 × 45,243
  4. Step 4: Simplify right side
    82,966.68x = 5,180,159,720.34
  5. Step 5: Solve for x
    x = 5,180,159,720.34/82,966.68
  6. Step 6: Final answer
    x = 62,436.63

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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.