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Finding the Fourth Proportional to 47,169, 65,091.92 and 25,948.26

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Solution

The fourth proportional to 47,169, 65,091.92 and 25,948.26 is: 35,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,169 : 65,091.92 = 25,948.26 : x
  2. Step 2: Convert to fraction form
    47,169/65,091.92 = 25,948.26/x
  3. Step 3: Cross multiply
    47,169x = 65,091.92 × 25,948.26
  4. Step 4: Simplify right side
    47,169x = 1,689,021,934.32
  5. Step 5: Solve for x
    x = 1,689,021,934.32/47,169
  6. Step 6: Final answer
    x = 35,807.88

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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.