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Finding the Fourth Proportional to 30,782.36, 42,479.64 and 16,635.20

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Solution

The fourth proportional to 30,782.36, 42,479.64 and 16,635.20 is: 22,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.36 : 42,479.64 = 16,635.20 : x
  2. Step 2: Convert to fraction form
    30,782.36/42,479.64 = 16,635.20/x
  3. Step 3: Cross multiply
    30,782.36x = 42,479.64 × 16,635.20
  4. Step 4: Simplify right side
    30,782.36x = 706,657,094.93
  5. Step 5: Solve for x
    x = 706,657,094.93/30,782.36
  6. Step 6: Final answer
    x = 22,956.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.