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Finding the Fourth Proportional to 71,692.60, 107,533.50 and 29,000.74

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Solution

The fourth proportional to 71,692.60, 107,533.50 and 29,000.74 is: 43,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,692.60 : 107,533.50 = 29,000.74 : x
  2. Step 2: Convert to fraction form
    71,692.60/107,533.50 = 29,000.74/x
  3. Step 3: Cross multiply
    71,692.60x = 107,533.50 × 29,000.74
  4. Step 4: Simplify right side
    71,692.60x = 3,118,551,074.79
  5. Step 5: Solve for x
    x = 3,118,551,074.79/71,692.60
  6. Step 6: Final answer
    x = 43,498.93

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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.