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Finding the Fourth Proportional to 30,525.81, 42,168.06 and 23,029.86

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Solution

The fourth proportional to 30,525.81, 42,168.06 and 23,029.86 is: 31,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,525.81 : 42,168.06 = 23,029.86 : x
  2. Step 2: Convert to fraction form
    30,525.81/42,168.06 = 23,029.86/x
  3. Step 3: Cross multiply
    30,525.81x = 42,168.06 × 23,029.86
  4. Step 4: Simplify right side
    30,525.81x = 971,124,518.27
  5. Step 5: Solve for x
    x = 971,124,518.27/30,525.81
  6. Step 6: Final answer
    x = 31,813.23

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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.