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Finding the Fourth Proportional to 43,523.49, 65,197.76 and 22,703.25

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Solution

The fourth proportional to 43,523.49, 65,197.76 and 22,703.25 is: 34,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,523.49 : 65,197.76 = 22,703.25 : x
  2. Step 2: Convert to fraction form
    43,523.49/65,197.76 = 22,703.25/x
  3. Step 3: Cross multiply
    43,523.49x = 65,197.76 × 22,703.25
  4. Step 4: Simplify right side
    43,523.49x = 1,480,200,931.20
  5. Step 5: Solve for x
    x = 1,480,200,931.20/43,523.49
  6. Step 6: Final answer
    x = 34,009.24

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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.