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Finding the Fourth Proportional to 131,842.98, 197,762.82 and 32,004

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Solution

The fourth proportional to 131,842.98, 197,762.82 and 32,004 is: 48,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,842.98 : 197,762.82 = 32,004 : x
  2. Step 2: Convert to fraction form
    131,842.98/197,762.82 = 32,004/x
  3. Step 3: Cross multiply
    131,842.98x = 197,762.82 × 32,004
  4. Step 4: Simplify right side
    131,842.98x = 6,329,201,291.28
  5. Step 5: Solve for x
    x = 6,329,201,291.28/131,842.98
  6. Step 6: Final answer
    x = 48,005.60

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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.