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Finding the Fourth Proportional to 43,617.60, 65,426.40 and 21,434.40

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Solution

The fourth proportional to 43,617.60, 65,426.40 and 21,434.40 is: 32,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,617.60 : 65,426.40 = 21,434.40 : x
  2. Step 2: Convert to fraction form
    43,617.60/65,426.40 = 21,434.40/x
  3. Step 3: Cross multiply
    43,617.60x = 65,426.40 × 21,434.40
  4. Step 4: Simplify right side
    43,617.60x = 1,402,375,628.16
  5. Step 5: Solve for x
    x = 1,402,375,628.16/43,617.60
  6. Step 6: Final answer
    x = 32,151.60

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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.