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Finding the Fourth Proportional to 32,931.94, 45,446.14 and 17,824.64

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Solution

The fourth proportional to 32,931.94, 45,446.14 and 17,824.64 is: 24,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931.94 : 45,446.14 = 17,824.64 : x
  2. Step 2: Convert to fraction form
    32,931.94/45,446.14 = 17,824.64/x
  3. Step 3: Cross multiply
    32,931.94x = 45,446.14 × 17,824.64
  4. Step 4: Simplify right side
    32,931.94x = 810,061,084.89
  5. Step 5: Solve for x
    x = 810,061,084.89/32,931.94
  6. Step 6: Final answer
    x = 24,598.04

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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.