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Finding the Fourth Proportional to 27,585.50, 41,386.41 and 15,907.10

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Solution

The fourth proportional to 27,585.50, 41,386.41 and 15,907.10 is: 23,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,585.50 : 41,386.41 = 15,907.10 : x
  2. Step 2: Convert to fraction form
    27,585.50/41,386.41 = 15,907.10/x
  3. Step 3: Cross multiply
    27,585.50x = 41,386.41 × 15,907.10
  4. Step 4: Simplify right side
    27,585.50x = 658,337,762.51
  5. Step 5: Solve for x
    x = 658,337,762.51/27,585.50
  6. Step 6: Final answer
    x = 23,865.36

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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.