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Finding the Fourth Proportional to 47,188.16, 65,119.64 and 25,967

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Solution

The fourth proportional to 47,188.16, 65,119.64 and 25,967 is: 35,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,188.16 : 65,119.64 = 25,967 : x
  2. Step 2: Convert to fraction form
    47,188.16/65,119.64 = 25,967/x
  3. Step 3: Cross multiply
    47,188.16x = 65,119.64 × 25,967
  4. Step 4: Simplify right side
    47,188.16x = 1,690,961,691.88
  5. Step 5: Solve for x
    x = 1,690,961,691.88/47,188.16
  6. Step 6: Final answer
    x = 35,834.45

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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.