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Finding the Fourth Proportional to 30,823.61, 42,536.52 and 16,676.42

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Solution

The fourth proportional to 30,823.61, 42,536.52 and 16,676.42 is: 23,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.61 : 42,536.52 = 16,676.42 : x
  2. Step 2: Convert to fraction form
    30,823.61/42,536.52 = 16,676.42/x
  3. Step 3: Cross multiply
    30,823.61x = 42,536.52 × 16,676.42
  4. Step 4: Simplify right side
    30,823.61x = 709,356,660.18
  5. Step 5: Solve for x
    x = 709,356,660.18/30,823.61
  6. Step 6: Final answer
    x = 23,013.42

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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.