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Finding the Fourth Proportional to 92,464.15, 127,604.15 and 54,218.38

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Solution

The fourth proportional to 92,464.15, 127,604.15 and 54,218.38 is: 74,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,464.15 : 127,604.15 = 54,218.38 : x
  2. Step 2: Convert to fraction form
    92,464.15/127,604.15 = 54,218.38/x
  3. Step 3: Cross multiply
    92,464.15x = 127,604.15 × 54,218.38
  4. Step 4: Simplify right side
    92,464.15x = 6,918,490,294.28
  5. Step 5: Solve for x
    x = 6,918,490,294.28/92,464.15
  6. Step 6: Final answer
    x = 74,823.49

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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.