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Finding the Fourth Proportional to 32,783.41, 45,205.22 and 22,154.59

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Solution

The fourth proportional to 32,783.41, 45,205.22 and 22,154.59 is: 30,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.41 : 45,205.22 = 22,154.59 : x
  2. Step 2: Convert to fraction form
    32,783.41/45,205.22 = 22,154.59/x
  3. Step 3: Cross multiply
    32,783.41x = 45,205.22 × 22,154.59
  4. Step 4: Simplify right side
    32,783.41x = 1,001,503,004.19
  5. Step 5: Solve for x
    x = 1,001,503,004.19/32,783.41
  6. Step 6: Final answer
    x = 30,549.08

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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.