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Finding the Fourth Proportional to 30,897.80, 46,335.90 and 16,101.80

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Solution

The fourth proportional to 30,897.80, 46,335.90 and 16,101.80 is: 24,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.80 : 46,335.90 = 16,101.80 : x
  2. Step 2: Convert to fraction form
    30,897.80/46,335.90 = 16,101.80/x
  3. Step 3: Cross multiply
    30,897.80x = 46,335.90 × 16,101.80
  4. Step 4: Simplify right side
    30,897.80x = 746,091,394.62
  5. Step 5: Solve for x
    x = 746,091,394.62/30,897.80
  6. Step 6: Final answer
    x = 24,147.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.