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Finding the Fourth Proportional to 27,480, 41,228.16 and 15,801.60

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Solution

The fourth proportional to 27,480, 41,228.16 and 15,801.60 is: 23,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,480 : 41,228.16 = 15,801.60 : x
  2. Step 2: Convert to fraction form
    27,480/41,228.16 = 15,801.60/x
  3. Step 3: Cross multiply
    27,480x = 41,228.16 × 15,801.60
  4. Step 4: Simplify right side
    27,480x = 651,470,893.06
  5. Step 5: Solve for x
    x = 651,470,893.06/27,480
  6. Step 6: Final answer
    x = 23,707.09

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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.