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Finding the Fourth Proportional to 82,729.84, 114,167.28 and 45,004

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Solution

The fourth proportional to 82,729.84, 114,167.28 and 45,004 is: 62,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,729.84 : 114,167.28 = 45,004 : x
  2. Step 2: Convert to fraction form
    82,729.84/114,167.28 = 45,004/x
  3. Step 3: Cross multiply
    82,729.84x = 114,167.28 × 45,004
  4. Step 4: Simplify right side
    82,729.84x = 5,137,984,269.12
  5. Step 5: Solve for x
    x = 5,137,984,269.12/82,729.84
  6. Step 6: Final answer
    x = 62,105.57

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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.