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Finding the Fourth Proportional to 76,200.50, 105,132.39 and 49,363.58

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Solution

The fourth proportional to 76,200.50, 105,132.39 and 49,363.58 is: 68,106.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,200.50 : 105,132.39 = 49,363.58 : x
  2. Step 2: Convert to fraction form
    76,200.50/105,132.39 = 49,363.58/x
  3. Step 3: Cross multiply
    76,200.50x = 105,132.39 × 49,363.58
  4. Step 4: Simplify right side
    76,200.50x = 5,189,711,144.36
  5. Step 5: Solve for x
    x = 5,189,711,144.36/76,200.50
  6. Step 6: Final answer
    x = 68,106.00

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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.