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Finding the Fourth Proportional to 43,683.68, 65,527.20 and 14,102

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Solution

The fourth proportional to 43,683.68, 65,527.20 and 14,102 is: 21,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,683.68 : 65,527.20 = 14,102 : x
  2. Step 2: Convert to fraction form
    43,683.68/65,527.20 = 14,102/x
  3. Step 3: Cross multiply
    43,683.68x = 65,527.20 × 14,102
  4. Step 4: Simplify right side
    43,683.68x = 924,064,574.40
  5. Step 5: Solve for x
    x = 924,064,574.40/43,683.68
  6. Step 6: Final answer
    x = 21,153.54

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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.