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Finding the Fourth Proportional to 38,577.66, 53,237.40 and 22,454.54

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Solution

The fourth proportional to 38,577.66, 53,237.40 and 22,454.54 is: 30,987.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,577.66 : 53,237.40 = 22,454.54 : x
  2. Step 2: Convert to fraction form
    38,577.66/53,237.40 = 22,454.54/x
  3. Step 3: Cross multiply
    38,577.66x = 53,237.40 × 22,454.54
  4. Step 4: Simplify right side
    38,577.66x = 1,195,421,327.80
  5. Step 5: Solve for x
    x = 1,195,421,327.80/38,577.66
  6. Step 6: Final answer
    x = 30,987.40

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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.