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Finding the Fourth Proportional to 30,854.34, 46,271.94 and 11,130.32

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Solution

The fourth proportional to 30,854.34, 46,271.94 and 11,130.32 is: 16,692.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854.34 : 46,271.94 = 11,130.32 : x
  2. Step 2: Convert to fraction form
    30,854.34/46,271.94 = 11,130.32/x
  3. Step 3: Cross multiply
    30,854.34x = 46,271.94 × 11,130.32
  4. Step 4: Simplify right side
    30,854.34x = 515,021,573.16
  5. Step 5: Solve for x
    x = 515,021,573.16/30,854.34
  6. Step 6: Final answer
    x = 16,692.03

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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.