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Finding the Fourth Proportional to 35,204.76, 52,815.06 and 11,830.50

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Solution

The fourth proportional to 35,204.76, 52,815.06 and 11,830.50 is: 17,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,204.76 : 52,815.06 = 11,830.50 : x
  2. Step 2: Convert to fraction form
    35,204.76/52,815.06 = 11,830.50/x
  3. Step 3: Cross multiply
    35,204.76x = 52,815.06 × 11,830.50
  4. Step 4: Simplify right side
    35,204.76x = 624,828,567.33
  5. Step 5: Solve for x
    x = 624,828,567.33/35,204.76
  6. Step 6: Final answer
    x = 17,748.41

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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.