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Finding the Fourth Proportional to 56,199.94, 84,299.30 and 32,492.40

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Solution

The fourth proportional to 56,199.94, 84,299.30 and 32,492.40 is: 48,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,199.94 : 84,299.30 = 32,492.40 : x
  2. Step 2: Convert to fraction form
    56,199.94/84,299.30 = 32,492.40/x
  3. Step 3: Cross multiply
    56,199.94x = 84,299.30 × 32,492.40
  4. Step 4: Simplify right side
    56,199.94x = 2,739,086,575.32
  5. Step 5: Solve for x
    x = 2,739,086,575.32/56,199.94
  6. Step 6: Final answer
    x = 48,738.25

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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.