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Finding the Fourth Proportional to 38,577.40, 53,246.10 and 24,245.80

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Solution

The fourth proportional to 38,577.40, 53,246.10 and 24,245.80 is: 33,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,577.40 : 53,246.10 = 24,245.80 : x
  2. Step 2: Convert to fraction form
    38,577.40/53,246.10 = 24,245.80/x
  3. Step 3: Cross multiply
    38,577.40x = 53,246.10 × 24,245.80
  4. Step 4: Simplify right side
    38,577.40x = 1,290,994,291.38
  5. Step 5: Solve for x
    x = 1,290,994,291.38/38,577.40
  6. Step 6: Final answer
    x = 33,465.04

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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.