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Finding the Fourth Proportional to 33,830.50, 50,750.60 and 10,458.76

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Solution

The fourth proportional to 33,830.50, 50,750.60 and 10,458.76 is: 15,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.50 : 50,750.60 = 10,458.76 : x
  2. Step 2: Convert to fraction form
    33,830.50/50,750.60 = 10,458.76/x
  3. Step 3: Cross multiply
    33,830.50x = 50,750.60 × 10,458.76
  4. Step 4: Simplify right side
    33,830.50x = 530,788,345.26
  5. Step 5: Solve for x
    x = 530,788,345.26/33,830.50
  6. Step 6: Final answer
    x = 15,689.64

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