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Finding the Fourth Proportional to 71,492.94, 107,268.84 and 24,778.62

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Solution

The fourth proportional to 71,492.94, 107,268.84 and 24,778.62 is: 37,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,492.94 : 107,268.84 = 24,778.62 : x
  2. Step 2: Convert to fraction form
    71,492.94/107,268.84 = 24,778.62/x
  3. Step 3: Cross multiply
    71,492.94x = 107,268.84 × 24,778.62
  4. Step 4: Simplify right side
    71,492.94x = 2,657,973,824.20
  5. Step 5: Solve for x
    x = 2,657,973,824.20/71,492.94
  6. Step 6: Final answer
    x = 37,178.13

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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.