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Finding the Fourth Proportional to 27,970.02, 41,948.93 and 9,245.62

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Solution

The fourth proportional to 27,970.02, 41,948.93 and 9,245.62 is: 13,866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.02 : 41,948.93 = 9,245.62 : x
  2. Step 2: Convert to fraction form
    27,970.02/41,948.93 = 9,245.62/x
  3. Step 3: Cross multiply
    27,970.02x = 41,948.93 × 9,245.62
  4. Step 4: Simplify right side
    27,970.02x = 387,843,784.43
  5. Step 5: Solve for x
    x = 387,843,784.43/27,970.02
  6. Step 6: Final answer
    x = 13,866.41

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Why These Related Problems?

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