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Finding the Fourth Proportional to 31,098, 42,944.40 and 21,692.64

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Solution

The fourth proportional to 31,098, 42,944.40 and 21,692.64 is: 29,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098 : 42,944.40 = 21,692.64 : x
  2. Step 2: Convert to fraction form
    31,098/42,944.40 = 21,692.64/x
  3. Step 3: Cross multiply
    31,098x = 42,944.40 × 21,692.64
  4. Step 4: Simplify right side
    31,098x = 931,577,409.22
  5. Step 5: Solve for x
    x = 931,577,409.22/31,098
  6. Step 6: Final answer
    x = 29,956.18

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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.