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Finding the Fourth Proportional to 30,472.64, 45,706.08 and 9,692.48

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Solution

The fourth proportional to 30,472.64, 45,706.08 and 9,692.48 is: 14,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,472.64 : 45,706.08 = 9,692.48 : x
  2. Step 2: Convert to fraction form
    30,472.64/45,706.08 = 9,692.48/x
  3. Step 3: Cross multiply
    30,472.64x = 45,706.08 × 9,692.48
  4. Step 4: Simplify right side
    30,472.64x = 443,005,266.28
  5. Step 5: Solve for x
    x = 443,005,266.28/30,472.64
  6. Step 6: Final answer
    x = 14,537.80

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1.5x scale

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.