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Finding the Fourth Proportional to 35,670.96, 53,511.84 and 12,291.84

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Solution

The fourth proportional to 35,670.96, 53,511.84 and 12,291.84 is: 18,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,670.96 : 53,511.84 = 12,291.84 : x
  2. Step 2: Convert to fraction form
    35,670.96/53,511.84 = 12,291.84/x
  3. Step 3: Cross multiply
    35,670.96x = 53,511.84 × 12,291.84
  4. Step 4: Simplify right side
    35,670.96x = 657,758,975.39
  5. Step 5: Solve for x
    x = 657,758,975.39/35,670.96
  6. Step 6: Final answer
    x = 18,439.62

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Why These Related Problems?

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