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Finding the Fourth Proportional to 106,827.60, 160,192.80 and 47,632.80

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Solution

The fourth proportional to 106,827.60, 160,192.80 and 47,632.80 is: 71,427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,827.60 : 160,192.80 = 47,632.80 : x
  2. Step 2: Convert to fraction form
    106,827.60/160,192.80 = 47,632.80/x
  3. Step 3: Cross multiply
    106,827.60x = 160,192.80 × 47,632.80
  4. Step 4: Simplify right side
    106,827.60x = 7,630,431,603.84
  5. Step 5: Solve for x
    x = 7,630,431,603.84/106,827.60
  6. Step 6: Final answer
    x = 71,427.53

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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.