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Finding the Fourth Proportional to 30,692.98, 42,172.74 and 24,394.42

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Solution

The fourth proportional to 30,692.98, 42,172.74 and 24,394.42 is: 33,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,692.98 : 42,172.74 = 24,394.42 : x
  2. Step 2: Convert to fraction form
    30,692.98/42,172.74 = 24,394.42/x
  3. Step 3: Cross multiply
    30,692.98x = 42,172.74 × 24,394.42
  4. Step 4: Simplify right side
    30,692.98x = 1,028,779,532.11
  5. Step 5: Solve for x
    x = 1,028,779,532.11/30,692.98
  6. Step 6: Final answer
    x = 33,518.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.