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Finding the Fourth Proportional to 53,963.40, 80,945.10 and 48,714.60

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Solution

The fourth proportional to 53,963.40, 80,945.10 and 48,714.60 is: 73,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,963.40 : 80,945.10 = 48,714.60 : x
  2. Step 2: Convert to fraction form
    53,963.40/80,945.10 = 48,714.60/x
  3. Step 3: Cross multiply
    53,963.40x = 80,945.10 × 48,714.60
  4. Step 4: Simplify right side
    53,963.40x = 3,943,208,168.46
  5. Step 5: Solve for x
    x = 3,943,208,168.46/53,963.40
  6. Step 6: Final answer
    x = 73,071.90

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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.