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Finding the Fourth Proportional to 47,458.94, 65,491.25 and 25,948.31

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Solution

The fourth proportional to 47,458.94, 65,491.25 and 25,948.31 is: 35,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,458.94 : 65,491.25 = 25,948.31 : x
  2. Step 2: Convert to fraction form
    47,458.94/65,491.25 = 25,948.31/x
  3. Step 3: Cross multiply
    47,458.94x = 65,491.25 × 25,948.31
  4. Step 4: Simplify right side
    47,458.94x = 1,699,386,800.09
  5. Step 5: Solve for x
    x = 1,699,386,800.09/47,458.94
  6. Step 6: Final answer
    x = 35,807.52

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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.