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Finding the Fourth Proportional to 29,847.16, 44,780.48 and 14,266

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Solution

The fourth proportional to 29,847.16, 44,780.48 and 14,266 is: 21,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,847.16 : 44,780.48 = 14,266 : x
  2. Step 2: Convert to fraction form
    29,847.16/44,780.48 = 14,266/x
  3. Step 3: Cross multiply
    29,847.16x = 44,780.48 × 14,266
  4. Step 4: Simplify right side
    29,847.16x = 638,838,327.68
  5. Step 5: Solve for x
    x = 638,838,327.68/29,847.16
  6. Step 6: Final answer
    x = 21,403.66

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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.