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Finding the Fourth Proportional to 43,122.24, 59,509.62 and 24,003

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Solution

The fourth proportional to 43,122.24, 59,509.62 and 24,003 is: 33,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,122.24 : 59,509.62 = 24,003 : x
  2. Step 2: Convert to fraction form
    43,122.24/59,509.62 = 24,003/x
  3. Step 3: Cross multiply
    43,122.24x = 59,509.62 × 24,003
  4. Step 4: Simplify right side
    43,122.24x = 1,428,409,408.86
  5. Step 5: Solve for x
    x = 1,428,409,408.86/43,122.24
  6. Step 6: Final answer
    x = 33,124.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.