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Finding the Fourth Proportional to 82,437.84, 113,764.92 and 44,712

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Solution

The fourth proportional to 82,437.84, 113,764.92 and 44,712 is: 61,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,437.84 : 113,764.92 = 44,712 : x
  2. Step 2: Convert to fraction form
    82,437.84/113,764.92 = 44,712/x
  3. Step 3: Cross multiply
    82,437.84x = 113,764.92 × 44,712
  4. Step 4: Simplify right side
    82,437.84x = 5,086,657,103.04
  5. Step 5: Solve for x
    x = 5,086,657,103.04/82,437.84
  6. Step 6: Final answer
    x = 61,702.94

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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.