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Finding the Fourth Proportional to 32,461.34, 48,692.01 and 29,584.22

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Solution

The fourth proportional to 32,461.34, 48,692.01 and 29,584.22 is: 44,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461.34 : 48,692.01 = 29,584.22 : x
  2. Step 2: Convert to fraction form
    32,461.34/48,692.01 = 29,584.22/x
  3. Step 3: Cross multiply
    32,461.34x = 48,692.01 × 29,584.22
  4. Step 4: Simplify right side
    32,461.34x = 1,440,515,136.08
  5. Step 5: Solve for x
    x = 1,440,515,136.08/32,461.34
  6. Step 6: Final answer
    x = 44,376.33

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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.