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Finding the Fourth Proportional to 31,391.84, 43,332.10 and 20,784.89

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Solution

The fourth proportional to 31,391.84, 43,332.10 and 20,784.89 is: 28,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,391.84 : 43,332.10 = 20,784.89 : x
  2. Step 2: Convert to fraction form
    31,391.84/43,332.10 = 20,784.89/x
  3. Step 3: Cross multiply
    31,391.84x = 43,332.10 × 20,784.89
  4. Step 4: Simplify right side
    31,391.84x = 900,652,715.31
  5. Step 5: Solve for x
    x = 900,652,715.31/31,391.84
  6. Step 6: Final answer
    x = 28,690.67

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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.