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Finding the Fourth Proportional to 53,651.60, 80,491.80 and 47,848.40

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Solution

The fourth proportional to 53,651.60, 80,491.80 and 47,848.40 is: 71,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,651.60 : 80,491.80 = 47,848.40 : x
  2. Step 2: Convert to fraction form
    53,651.60/80,491.80 = 47,848.40/x
  3. Step 3: Cross multiply
    53,651.60x = 80,491.80 × 47,848.40
  4. Step 4: Simplify right side
    53,651.60x = 3,851,403,843.12
  5. Step 5: Solve for x
    x = 3,851,403,843.12/53,651.60
  6. Step 6: Final answer
    x = 71,785.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.