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Finding the Fourth Proportional to 30,402.70, 45,599.49 and 9,623.50

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Solution

The fourth proportional to 30,402.70, 45,599.49 and 9,623.50 is: 14,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402.70 : 45,599.49 = 9,623.50 : x
  2. Step 2: Convert to fraction form
    30,402.70/45,599.49 = 9,623.50/x
  3. Step 3: Cross multiply
    30,402.70x = 45,599.49 × 9,623.50
  4. Step 4: Simplify right side
    30,402.70x = 438,826,692.02
  5. Step 5: Solve for x
    x = 438,826,692.02/30,402.70
  6. Step 6: Final answer
    x = 14,433.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.