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Finding the Fourth Proportional to 47,002.88, 64,864.40 and 25,782.30

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Solution

The fourth proportional to 47,002.88, 64,864.40 and 25,782.30 is: 35,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,002.88 : 64,864.40 = 25,782.30 : x
  2. Step 2: Convert to fraction form
    47,002.88/64,864.40 = 25,782.30/x
  3. Step 3: Cross multiply
    47,002.88x = 64,864.40 × 25,782.30
  4. Step 4: Simplify right side
    47,002.88x = 1,672,353,291.21
  5. Step 5: Solve for x
    x = 1,672,353,291.21/47,002.88
  6. Step 6: Final answer
    x = 35,579.80

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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.