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Finding the Fourth Proportional to 94,707.78, 142,084.80 and 31,527.78

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Solution

The fourth proportional to 94,707.78, 142,084.80 and 31,527.78 is: 47,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,707.78 : 142,084.80 = 31,527.78 : x
  2. Step 2: Convert to fraction form
    94,707.78/142,084.80 = 31,527.78/x
  3. Step 3: Cross multiply
    94,707.78x = 142,084.80 × 31,527.78
  4. Step 4: Simplify right side
    94,707.78x = 4,479,618,315.74
  5. Step 5: Solve for x
    x = 4,479,618,315.74/94,707.78
  6. Step 6: Final answer
    x = 47,299.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.