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Finding the Fourth Proportional to 35,207.56, 52,811.56 and 8,912.28

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Solution

The fourth proportional to 35,207.56, 52,811.56 and 8,912.28 is: 13,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,207.56 : 52,811.56 = 8,912.28 : x
  2. Step 2: Convert to fraction form
    35,207.56/52,811.56 = 8,912.28/x
  3. Step 3: Cross multiply
    35,207.56x = 52,811.56 × 8,912.28
  4. Step 4: Simplify right side
    35,207.56x = 470,671,409.96
  5. Step 5: Solve for x
    x = 470,671,409.96/35,207.56
  6. Step 6: Final answer
    x = 13,368.48

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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.