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Finding the Fourth Proportional to 94,158.50, 129,950.26 and 54,414.50

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Solution

The fourth proportional to 94,158.50, 129,950.26 and 54,414.50 is: 75,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,158.50 : 129,950.26 = 54,414.50 : x
  2. Step 2: Convert to fraction form
    94,158.50/129,950.26 = 54,414.50/x
  3. Step 3: Cross multiply
    94,158.50x = 129,950.26 × 54,414.50
  4. Step 4: Simplify right side
    94,158.50x = 7,071,178,422.77
  5. Step 5: Solve for x
    x = 7,071,178,422.77/94,158.50
  6. Step 6: Final answer
    x = 75,098.67

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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.