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Finding the Fourth Proportional to 92,357.96, 127,454.00 and 49,916.49

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Solution

The fourth proportional to 92,357.96, 127,454.00 and 49,916.49 is: 68,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,357.96 : 127,454.00 = 49,916.49 : x
  2. Step 2: Convert to fraction form
    92,357.96/127,454.00 = 49,916.49/x
  3. Step 3: Cross multiply
    92,357.96x = 127,454.00 × 49,916.49
  4. Step 4: Simplify right side
    92,357.96x = 6,362,056,066.88
  5. Step 5: Solve for x
    x = 6,362,056,066.88/92,357.96
  6. Step 6: Final answer
    x = 68,884.77

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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.