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Finding the Fourth Proportional to 39,152.57, 58,709.70 and 27,312

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Solution

The fourth proportional to 39,152.57, 58,709.70 and 27,312 is: 40,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,152.57 : 58,709.70 = 27,312 : x
  2. Step 2: Convert to fraction form
    39,152.57/58,709.70 = 27,312/x
  3. Step 3: Cross multiply
    39,152.57x = 58,709.70 × 27,312
  4. Step 4: Simplify right side
    39,152.57x = 1,603,479,326.40
  5. Step 5: Solve for x
    x = 1,603,479,326.40/39,152.57
  6. Step 6: Final answer
    x = 40,954.64

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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.