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Finding the Fourth Proportional to 30,907.14, 42,652.87 and 17,480.58

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Solution

The fourth proportional to 30,907.14, 42,652.87 and 17,480.58 is: 24,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.14 : 42,652.87 = 17,480.58 : x
  2. Step 2: Convert to fraction form
    30,907.14/42,652.87 = 17,480.58/x
  3. Step 3: Cross multiply
    30,907.14x = 42,652.87 × 17,480.58
  4. Step 4: Simplify right side
    30,907.14x = 745,596,906.26
  5. Step 5: Solve for x
    x = 745,596,906.26/30,907.14
  6. Step 6: Final answer
    x = 24,123.78

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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.