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Finding the Fourth Proportional to 30,989.86, 42,786.60 and 23,806.98

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Solution

The fourth proportional to 30,989.86, 42,786.60 and 23,806.98 is: 32,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.86 : 42,786.60 = 23,806.98 : x
  2. Step 2: Convert to fraction form
    30,989.86/42,786.60 = 23,806.98/x
  3. Step 3: Cross multiply
    30,989.86x = 42,786.60 × 23,806.98
  4. Step 4: Simplify right side
    30,989.86x = 1,018,619,641.19
  5. Step 5: Solve for x
    x = 1,018,619,641.19/30,989.86
  6. Step 6: Final answer
    x = 32,869.45

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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.