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Finding the Fourth Proportional to 30,785.69, 42,484.19 and 16,638.50

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Solution

The fourth proportional to 30,785.69, 42,484.19 and 16,638.50 is: 22,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.69 : 42,484.19 = 16,638.50 : x
  2. Step 2: Convert to fraction form
    30,785.69/42,484.19 = 16,638.50/x
  3. Step 3: Cross multiply
    30,785.69x = 42,484.19 × 16,638.50
  4. Step 4: Simplify right side
    30,785.69x = 706,873,153.72
  5. Step 5: Solve for x
    x = 706,873,153.72/30,785.69
  6. Step 6: Final answer
    x = 22,961.10

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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.