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Finding the Fourth Proportional to 82,263, 113,523 and 44,537.28

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Solution

The fourth proportional to 82,263, 113,523 and 44,537.28 is: 61,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,263 : 113,523 = 44,537.28 : x
  2. Step 2: Convert to fraction form
    82,263/113,523 = 44,537.28/x
  3. Step 3: Cross multiply
    82,263x = 113,523 × 44,537.28
  4. Step 4: Simplify right side
    82,263x = 5,056,005,637.44
  5. Step 5: Solve for x
    x = 5,056,005,637.44/82,263
  6. Step 6: Final answer
    x = 61,461.48

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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.