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Finding the Fourth Proportional to 32,931.51, 45,435.08 and 20,178.11

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Solution

The fourth proportional to 32,931.51, 45,435.08 and 20,178.11 is: 27,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931.51 : 45,435.08 = 20,178.11 : x
  2. Step 2: Convert to fraction form
    32,931.51/45,435.08 = 20,178.11/x
  3. Step 3: Cross multiply
    32,931.51x = 45,435.08 × 20,178.11
  4. Step 4: Simplify right side
    32,931.51x = 916,794,092.63
  5. Step 5: Solve for x
    x = 916,794,092.63/32,931.51
  6. Step 6: Final answer
    x = 27,839.42

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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.