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Finding the Fourth Proportional to 35,692.70, 53,534.48 and 9,399.46

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Solution

The fourth proportional to 35,692.70, 53,534.48 and 9,399.46 is: 14,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.70 : 53,534.48 = 9,399.46 : x
  2. Step 2: Convert to fraction form
    35,692.70/53,534.48 = 9,399.46/x
  3. Step 3: Cross multiply
    35,692.70x = 53,534.48 × 9,399.46
  4. Step 4: Simplify right side
    35,692.70x = 503,195,203.38
  5. Step 5: Solve for x
    x = 503,195,203.38/35,692.70
  6. Step 6: Final answer
    x = 14,097.99

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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.