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Finding the Fourth Proportional to 47,137.07, 65,047.47 and 25,916.16

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Solution

The fourth proportional to 47,137.07, 65,047.47 and 25,916.16 is: 35,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,137.07 : 65,047.47 = 25,916.16 : x
  2. Step 2: Convert to fraction form
    47,137.07/65,047.47 = 25,916.16/x
  3. Step 3: Cross multiply
    47,137.07x = 65,047.47 × 25,916.16
  4. Step 4: Simplify right side
    47,137.07x = 1,685,780,640.12
  5. Step 5: Solve for x
    x = 1,685,780,640.12/47,137.07
  6. Step 6: Final answer
    x = 35,763.38

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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.