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Finding the Fourth Proportional to 92,411.31, 127,527.53 and 49,969.74

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Solution

The fourth proportional to 92,411.31, 127,527.53 and 49,969.74 is: 68,958.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,411.31 : 127,527.53 = 49,969.74 : x
  2. Step 2: Convert to fraction form
    92,411.31/127,527.53 = 49,969.74/x
  3. Step 3: Cross multiply
    92,411.31x = 127,527.53 × 49,969.74
  4. Step 4: Simplify right side
    92,411.31x = 6,372,517,267.09
  5. Step 5: Solve for x
    x = 6,372,517,267.09/92,411.31
  6. Step 6: Final answer
    x = 68,958.20

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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.