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Finding the Fourth Proportional to 92,420.84, 127,573.44 and 54,695

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Solution

The fourth proportional to 92,420.84, 127,573.44 and 54,695 is: 75,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,420.84 : 127,573.44 = 54,695 : x
  2. Step 2: Convert to fraction form
    92,420.84/127,573.44 = 54,695/x
  3. Step 3: Cross multiply
    92,420.84x = 127,573.44 × 54,695
  4. Step 4: Simplify right side
    92,420.84x = 6,977,629,300.80
  5. Step 5: Solve for x
    x = 6,977,629,300.80/92,420.84
  6. Step 6: Final answer
    x = 75,498.44

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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.