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Finding the Fourth Proportional to 33,580.80, 46,337.85 and 19,431

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Solution

The fourth proportional to 33,580.80, 46,337.85 and 19,431 is: 26,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,580.80 : 46,337.85 = 19,431 : x
  2. Step 2: Convert to fraction form
    33,580.80/46,337.85 = 19,431/x
  3. Step 3: Cross multiply
    33,580.80x = 46,337.85 × 19,431
  4. Step 4: Simplify right side
    33,580.80x = 900,390,763.35
  5. Step 5: Solve for x
    x = 900,390,763.35/33,580.80
  6. Step 6: Final answer
    x = 26,812.67

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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.