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Finding the Fourth Proportional to 85,924.88, 128,893.08 and 29,770.64

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Solution

The fourth proportional to 85,924.88, 128,893.08 and 29,770.64 is: 44,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,924.88 : 128,893.08 = 29,770.64 : x
  2. Step 2: Convert to fraction form
    85,924.88/128,893.08 = 29,770.64/x
  3. Step 3: Cross multiply
    85,924.88x = 128,893.08 × 29,770.64
  4. Step 4: Simplify right side
    85,924.88x = 3,837,229,483.17
  5. Step 5: Solve for x
    x = 3,837,229,483.17/85,924.88
  6. Step 6: Final answer
    x = 44,657.96

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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.