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Finding the Fourth Proportional to 85,139.80, 127,782.60 and 37,827.70

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Solution

The fourth proportional to 85,139.80, 127,782.60 and 37,827.70 is: 56,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,139.80 : 127,782.60 = 37,827.70 : x
  2. Step 2: Convert to fraction form
    85,139.80/127,782.60 = 37,827.70/x
  3. Step 3: Cross multiply
    85,139.80x = 127,782.60 × 37,827.70
  4. Step 4: Simplify right side
    85,139.80x = 4,833,721,858.02
  5. Step 5: Solve for x
    x = 4,833,721,858.02/85,139.80
  6. Step 6: Final answer
    x = 56,773.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.