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Finding the Fourth Proportional to 94,842.98, 142,222.56 and 50,459.20

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Solution

The fourth proportional to 94,842.98, 142,222.56 and 50,459.20 is: 75,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,842.98 : 142,222.56 = 50,459.20 : x
  2. Step 2: Convert to fraction form
    94,842.98/142,222.56 = 50,459.20/x
  3. Step 3: Cross multiply
    94,842.98x = 142,222.56 × 50,459.20
  4. Step 4: Simplify right side
    94,842.98x = 7,176,436,599.55
  5. Step 5: Solve for x
    x = 7,176,436,599.55/94,842.98
  6. Step 6: Final answer
    x = 75,666.50

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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.