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Finding the Fourth Proportional to 38,303.84, 52,860.48 and 23,199.32

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Solution

The fourth proportional to 38,303.84, 52,860.48 and 23,199.32 is: 32,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,303.84 : 52,860.48 = 23,199.32 : x
  2. Step 2: Convert to fraction form
    38,303.84/52,860.48 = 23,199.32/x
  3. Step 3: Cross multiply
    38,303.84x = 52,860.48 × 23,199.32
  4. Step 4: Simplify right side
    38,303.84x = 1,226,327,190.87
  5. Step 5: Solve for x
    x = 1,226,327,190.87/38,303.84
  6. Step 6: Final answer
    x = 32,015.78

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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.