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Finding the Fourth Proportional to 45,854.94, 68,782.50 and 12,575.46

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Solution

The fourth proportional to 45,854.94, 68,782.50 and 12,575.46 is: 18,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,854.94 : 68,782.50 = 12,575.46 : x
  2. Step 2: Convert to fraction form
    45,854.94/68,782.50 = 12,575.46/x
  3. Step 3: Cross multiply
    45,854.94x = 68,782.50 × 12,575.46
  4. Step 4: Simplify right side
    45,854.94x = 864,971,577.45
  5. Step 5: Solve for x
    x = 864,971,577.45/45,854.94
  6. Step 6: Final answer
    x = 18,863.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.