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Finding the Fourth Proportional to 35,212.70, 52,819.05 and 10,588.70

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Solution

The fourth proportional to 35,212.70, 52,819.05 and 10,588.70 is: 15,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,212.70 : 52,819.05 = 10,588.70 : x
  2. Step 2: Convert to fraction form
    35,212.70/52,819.05 = 10,588.70/x
  3. Step 3: Cross multiply
    35,212.70x = 52,819.05 × 10,588.70
  4. Step 4: Simplify right side
    35,212.70x = 559,285,074.74
  5. Step 5: Solve for x
    x = 559,285,074.74/35,212.70
  6. Step 6: Final answer
    x = 15,883.05

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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.