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Finding the Fourth Proportional to 30,854.84, 46,272.69 and 11,130.83

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Solution

The fourth proportional to 30,854.84, 46,272.69 and 11,130.83 is: 16,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854.84 : 46,272.69 = 11,130.83 : x
  2. Step 2: Convert to fraction form
    30,854.84/46,272.69 = 11,130.83/x
  3. Step 3: Cross multiply
    30,854.84x = 46,272.69 × 11,130.83
  4. Step 4: Simplify right side
    30,854.84x = 515,053,159.02
  5. Step 5: Solve for x
    x = 515,053,159.02/30,854.84
  6. Step 6: Final answer
    x = 16,692.78

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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.