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Finding the Fourth Proportional to 92,187.96, 127,234.92 and 53,420

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Solution

The fourth proportional to 92,187.96, 127,234.92 and 53,420 is: 73,728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,187.96 : 127,234.92 = 53,420 : x
  2. Step 2: Convert to fraction form
    92,187.96/127,234.92 = 53,420/x
  3. Step 3: Cross multiply
    92,187.96x = 127,234.92 × 53,420
  4. Step 4: Simplify right side
    92,187.96x = 6,796,889,426.40
  5. Step 5: Solve for x
    x = 6,796,889,426.40/92,187.96
  6. Step 6: Final answer
    x = 73,728.60

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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.