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Finding the Fourth Proportional to 136,623.48, 205,027.32 and 47,877.80

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Solution

The fourth proportional to 136,623.48, 205,027.32 and 47,877.80 is: 71,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,623.48 : 205,027.32 = 47,877.80 : x
  2. Step 2: Convert to fraction form
    136,623.48/205,027.32 = 47,877.80/x
  3. Step 3: Cross multiply
    136,623.48x = 205,027.32 × 47,877.80
  4. Step 4: Simplify right side
    136,623.48x = 9,816,257,021.50
  5. Step 5: Solve for x
    x = 9,816,257,021.50/136,623.48
  6. Step 6: Final answer
    x = 71,848.98

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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.