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Finding the Fourth Proportional to 27,478.75, 37,920.71 and 14,903.50

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Solution

The fourth proportional to 27,478.75, 37,920.71 and 14,903.50 is: 20,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.75 : 37,920.71 = 14,903.50 : x
  2. Step 2: Convert to fraction form
    27,478.75/37,920.71 = 14,903.50/x
  3. Step 3: Cross multiply
    27,478.75x = 37,920.71 × 14,903.50
  4. Step 4: Simplify right side
    27,478.75x = 565,151,301.49
  5. Step 5: Solve for x
    x = 565,151,301.49/27,478.75
  6. Step 6: Final answer
    x = 20,566.85

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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.