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Finding the Fourth Proportional to 92,411.84, 127,527.96 and 49,970.36

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Solution

The fourth proportional to 92,411.84, 127,527.96 and 49,970.36 is: 68,958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,411.84 : 127,527.96 = 49,970.36 : x
  2. Step 2: Convert to fraction form
    92,411.84/127,527.96 = 49,970.36/x
  3. Step 3: Cross multiply
    92,411.84x = 127,527.96 × 49,970.36
  4. Step 4: Simplify right side
    92,411.84x = 6,372,618,071.27
  5. Step 5: Solve for x
    x = 6,372,618,071.27/92,411.84
  6. Step 6: Final answer
    x = 68,958.89

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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.