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Finding the Fourth Proportional to 29,971.56, 44,957.33 and 8,911.51

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Solution

The fourth proportional to 29,971.56, 44,957.33 and 8,911.51 is: 13,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.56 : 44,957.33 = 8,911.51 : x
  2. Step 2: Convert to fraction form
    29,971.56/44,957.33 = 8,911.51/x
  3. Step 3: Cross multiply
    29,971.56x = 44,957.33 × 8,911.51
  4. Step 4: Simplify right side
    29,971.56x = 400,637,538.92
  5. Step 5: Solve for x
    x = 400,637,538.92/29,971.56
  6. Step 6: Final answer
    x = 13,367.26

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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.