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Finding the Fourth Proportional to 30,977.33, 42,748.92 and 16,830.17

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Solution

The fourth proportional to 30,977.33, 42,748.92 and 16,830.17 is: 23,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,977.33 : 42,748.92 = 16,830.17 : x
  2. Step 2: Convert to fraction form
    30,977.33/42,748.92 = 16,830.17/x
  3. Step 3: Cross multiply
    30,977.33x = 42,748.92 × 16,830.17
  4. Step 4: Simplify right side
    30,977.33x = 719,471,590.92
  5. Step 5: Solve for x
    x = 719,471,590.92/30,977.33
  6. Step 6: Final answer
    x = 23,225.75

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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.