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Finding the Fourth Proportional to 91,586.84, 126,381.34 and 51,842.84

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Solution

The fourth proportional to 91,586.84, 126,381.34 and 51,842.84 is: 71,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,586.84 : 126,381.34 = 51,842.84 : x
  2. Step 2: Convert to fraction form
    91,586.84/126,381.34 = 51,842.84/x
  3. Step 3: Cross multiply
    91,586.84x = 126,381.34 × 51,842.84
  4. Step 4: Simplify right side
    91,586.84x = 6,551,967,588.61
  5. Step 5: Solve for x
    x = 6,551,967,588.61/91,586.84
  6. Step 6: Final answer
    x = 71,538.31

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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.