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Finding the Fourth Proportional to 27,337.50, 37,725.75 and 14,762.25

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Solution

The fourth proportional to 27,337.50, 37,725.75 and 14,762.25 is: 20,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,337.50 : 37,725.75 = 14,762.25 : x
  2. Step 2: Convert to fraction form
    27,337.50/37,725.75 = 14,762.25/x
  3. Step 3: Cross multiply
    27,337.50x = 37,725.75 × 14,762.25
  4. Step 4: Simplify right side
    27,337.50x = 556,916,952.94
  5. Step 5: Solve for x
    x = 556,916,952.94/27,337.50
  6. Step 6: Final answer
    x = 20,371.91

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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.