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Finding the Fourth Proportional to 38,638.50, 53,315.01 and 22,508.46

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Solution

The fourth proportional to 38,638.50, 53,315.01 and 22,508.46 is: 31,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,638.50 : 53,315.01 = 22,508.46 : x
  2. Step 2: Convert to fraction form
    38,638.50/53,315.01 = 22,508.46/x
  3. Step 3: Cross multiply
    38,638.50x = 53,315.01 × 22,508.46
  4. Step 4: Simplify right side
    38,638.50x = 1,200,038,769.98
  5. Step 5: Solve for x
    x = 1,200,038,769.98/38,638.50
  6. Step 6: Final answer
    x = 31,058.11

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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.