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Finding the Fourth Proportional to 30,823.96, 42,537 and 16,676.80

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Solution

The fourth proportional to 30,823.96, 42,537 and 16,676.80 is: 23,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.96 : 42,537 = 16,676.80 : x
  2. Step 2: Convert to fraction form
    30,823.96/42,537 = 16,676.80/x
  3. Step 3: Cross multiply
    30,823.96x = 42,537 × 16,676.80
  4. Step 4: Simplify right side
    30,823.96x = 709,381,041.60
  5. Step 5: Solve for x
    x = 709,381,041.60/30,823.96
  6. Step 6: Final answer
    x = 23,013.95

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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.