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Finding the Fourth Proportional to 38,444.49, 53,050.75 and 22,312.26

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Solution

The fourth proportional to 38,444.49, 53,050.75 and 22,312.26 is: 30,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,444.49 : 53,050.75 = 22,312.26 : x
  2. Step 2: Convert to fraction form
    38,444.49/53,050.75 = 22,312.26/x
  3. Step 3: Cross multiply
    38,444.49x = 53,050.75 × 22,312.26
  4. Step 4: Simplify right side
    38,444.49x = 1,183,682,127.20
  5. Step 5: Solve for x
    x = 1,183,682,127.20/38,444.49
  6. Step 6: Final answer
    x = 30,789.38

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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.