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Finding the Fourth Proportional to 47,148, 65,064.24 and 25,928.64

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Solution

The fourth proportional to 47,148, 65,064.24 and 25,928.64 is: 35,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,148 : 65,064.24 = 25,928.64 : x
  2. Step 2: Convert to fraction form
    47,148/65,064.24 = 25,928.64/x
  3. Step 3: Cross multiply
    47,148x = 65,064.24 × 25,928.64
  4. Step 4: Simplify right side
    47,148x = 1,687,027,255.83
  5. Step 5: Solve for x
    x = 1,687,027,255.83/47,148
  6. Step 6: Final answer
    x = 35,781.52

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