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Finding the Fourth Proportional to 38,916.56, 53,705.10 and 22,149.56

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Solution

The fourth proportional to 38,916.56, 53,705.10 and 22,149.56 is: 30,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,916.56 : 53,705.10 = 22,149.56 : x
  2. Step 2: Convert to fraction form
    38,916.56/53,705.10 = 22,149.56/x
  3. Step 3: Cross multiply
    38,916.56x = 53,705.10 × 22,149.56
  4. Step 4: Simplify right side
    38,916.56x = 1,189,544,334.76
  5. Step 5: Solve for x
    x = 1,189,544,334.76/38,916.56
  6. Step 6: Final answer
    x = 30,566.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.