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Finding the Fourth Proportional to 43,784.96, 65,686.66 and 14,200.49

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Solution

The fourth proportional to 43,784.96, 65,686.66 and 14,200.49 is: 21,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,784.96 : 65,686.66 = 14,200.49 : x
  2. Step 2: Convert to fraction form
    43,784.96/65,686.66 = 14,200.49/x
  3. Step 3: Cross multiply
    43,784.96x = 65,686.66 × 14,200.49
  4. Step 4: Simplify right side
    43,784.96x = 932,782,394.53
  5. Step 5: Solve for x
    x = 932,782,394.53/43,784.96
  6. Step 6: Final answer
    x = 21,303.72

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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.