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Finding the Fourth Proportional to 39,527.84, 59,337.84 and 31,213.40

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Solution

The fourth proportional to 39,527.84, 59,337.84 and 31,213.40 is: 46,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,527.84 : 59,337.84 = 31,213.40 : x
  2. Step 2: Convert to fraction form
    39,527.84/59,337.84 = 31,213.40/x
  3. Step 3: Cross multiply
    39,527.84x = 59,337.84 × 31,213.40
  4. Step 4: Simplify right side
    39,527.84x = 1,852,135,735.06
  5. Step 5: Solve for x
    x = 1,852,135,735.06/39,527.84
  6. Step 6: Final answer
    x = 46,856.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.