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Finding the Fourth Proportional to 82,125, 113,332.50 and 44,399.25

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Solution

The fourth proportional to 82,125, 113,332.50 and 44,399.25 is: 61,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,125 : 113,332.50 = 44,399.25 : x
  2. Step 2: Convert to fraction form
    82,125/113,332.50 = 44,399.25/x
  3. Step 3: Cross multiply
    82,125x = 113,332.50 × 44,399.25
  4. Step 4: Simplify right side
    82,125x = 5,031,878,000.63
  5. Step 5: Solve for x
    x = 5,031,878,000.63/82,125
  6. Step 6: Final answer
    x = 61,270.97

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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.