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Finding the Fourth Proportional to 38,558.34, 53,199.72 and 24,219.72

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Solution

The fourth proportional to 38,558.34, 53,199.72 and 24,219.72 is: 33,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,558.34 : 53,199.72 = 24,219.72 : x
  2. Step 2: Convert to fraction form
    38,558.34/53,199.72 = 24,219.72/x
  3. Step 3: Cross multiply
    38,558.34x = 53,199.72 × 24,219.72
  4. Step 4: Simplify right side
    38,558.34x = 1,288,482,322.48
  5. Step 5: Solve for x
    x = 1,288,482,322.48/38,558.34
  6. Step 6: Final answer
    x = 33,416.44

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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.