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Finding the Fourth Proportional to 27,960.54, 41,948.07 and 10,430.50

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Solution

The fourth proportional to 27,960.54, 41,948.07 and 10,430.50 is: 15,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,960.54 : 41,948.07 = 10,430.50 : x
  2. Step 2: Convert to fraction form
    27,960.54/41,948.07 = 10,430.50/x
  3. Step 3: Cross multiply
    27,960.54x = 41,948.07 × 10,430.50
  4. Step 4: Simplify right side
    27,960.54x = 437,539,344.14
  5. Step 5: Solve for x
    x = 437,539,344.14/27,960.54
  6. Step 6: Final answer
    x = 15,648.46

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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.