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Finding the Fourth Proportional to 30,692.69, 46,038.90 and 8,506

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Solution

The fourth proportional to 30,692.69, 46,038.90 and 8,506 is: 12,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,692.69 : 46,038.90 = 8,506 : x
  2. Step 2: Convert to fraction form
    30,692.69/46,038.90 = 8,506/x
  3. Step 3: Cross multiply
    30,692.69x = 46,038.90 × 8,506
  4. Step 4: Simplify right side
    30,692.69x = 391,606,883.40
  5. Step 5: Solve for x
    x = 391,606,883.40/30,692.69
  6. Step 6: Final answer
    x = 12,758.96

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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.