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Finding the Fourth Proportional to 31,089.41, 42,852.18 and 22,003.02

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Solution

The fourth proportional to 31,089.41, 42,852.18 and 22,003.02 is: 30,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,089.41 : 42,852.18 = 22,003.02 : x
  2. Step 2: Convert to fraction form
    31,089.41/42,852.18 = 22,003.02/x
  3. Step 3: Cross multiply
    31,089.41x = 42,852.18 × 22,003.02
  4. Step 4: Simplify right side
    31,089.41x = 942,877,373.58
  5. Step 5: Solve for x
    x = 942,877,373.58/31,089.41
  6. Step 6: Final answer
    x = 30,327.93

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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.