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Finding the Fourth Proportional to 47,585.16, 65,665.71 and 26,364.78

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Solution

The fourth proportional to 47,585.16, 65,665.71 and 26,364.78 is: 36,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,585.16 : 65,665.71 = 26,364.78 : x
  2. Step 2: Convert to fraction form
    47,585.16/65,665.71 = 26,364.78/x
  3. Step 3: Cross multiply
    47,585.16x = 65,665.71 × 26,364.78
  4. Step 4: Simplify right side
    47,585.16x = 1,731,261,997.69
  5. Step 5: Solve for x
    x = 1,731,261,997.69/47,585.16
  6. Step 6: Final answer
    x = 36,382.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.