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Finding the Fourth Proportional to 47,003, 64,864.14 and 25,782.32

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Solution

The fourth proportional to 47,003, 64,864.14 and 25,782.32 is: 35,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,003 : 64,864.14 = 25,782.32 : x
  2. Step 2: Convert to fraction form
    47,003/64,864.14 = 25,782.32/x
  3. Step 3: Cross multiply
    47,003x = 64,864.14 × 25,782.32
  4. Step 4: Simplify right side
    47,003x = 1,672,347,689.68
  5. Step 5: Solve for x
    x = 1,672,347,689.68/47,003
  6. Step 6: Final answer
    x = 35,579.59

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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.