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Finding the Fourth Proportional to 43,513.68, 65,250.16 and 25,507.40

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Solution

The fourth proportional to 43,513.68, 65,250.16 and 25,507.40 is: 38,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,513.68 : 65,250.16 = 25,507.40 : x
  2. Step 2: Convert to fraction form
    43,513.68/65,250.16 = 25,507.40/x
  3. Step 3: Cross multiply
    43,513.68x = 65,250.16 × 25,507.40
  4. Step 4: Simplify right side
    43,513.68x = 1,664,361,931.18
  5. Step 5: Solve for x
    x = 1,664,361,931.18/43,513.68
  6. Step 6: Final answer
    x = 38,249.17

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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.