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Finding the Fourth Proportional to 76,343.50, 105,341.88 and 49,522.78

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Solution

The fourth proportional to 76,343.50, 105,341.88 and 49,522.78 is: 68,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,343.50 : 105,341.88 = 49,522.78 : x
  2. Step 2: Convert to fraction form
    76,343.50/105,341.88 = 49,522.78/x
  3. Step 3: Cross multiply
    76,343.50x = 105,341.88 × 49,522.78
  4. Step 4: Simplify right side
    76,343.50x = 5,216,822,748.03
  5. Step 5: Solve for x
    x = 5,216,822,748.03/76,343.50
  6. Step 6: Final answer
    x = 68,333.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.