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Finding the Fourth Proportional to 27,804.16, 41,748.48 and 24,292.16

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Solution

The fourth proportional to 27,804.16, 41,748.48 and 24,292.16 is: 36,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.16 : 41,748.48 = 24,292.16 : x
  2. Step 2: Convert to fraction form
    27,804.16/41,748.48 = 24,292.16/x
  3. Step 3: Cross multiply
    27,804.16x = 41,748.48 × 24,292.16
  4. Step 4: Simplify right side
    27,804.16x = 1,014,160,755.92
  5. Step 5: Solve for x
    x = 1,014,160,755.92/27,804.16
  6. Step 6: Final answer
    x = 36,475.14

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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.