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Finding the Fourth Proportional to 82,377.76, 113,681.20 and 44,652

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Solution

The fourth proportional to 82,377.76, 113,681.20 and 44,652 is: 61,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,377.76 : 113,681.20 = 44,652 : x
  2. Step 2: Convert to fraction form
    82,377.76/113,681.20 = 44,652/x
  3. Step 3: Cross multiply
    82,377.76x = 113,681.20 × 44,652
  4. Step 4: Simplify right side
    82,377.76x = 5,076,092,942.40
  5. Step 5: Solve for x
    x = 5,076,092,942.40/82,377.76
  6. Step 6: Final answer
    x = 61,619.70

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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.