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Finding the Fourth Proportional to 32,642.76, 48,970.44 and 13,922.48

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Solution

The fourth proportional to 32,642.76, 48,970.44 and 13,922.48 is: 20,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642.76 : 48,970.44 = 13,922.48 : x
  2. Step 2: Convert to fraction form
    32,642.76/48,970.44 = 13,922.48/x
  3. Step 3: Cross multiply
    32,642.76x = 48,970.44 × 13,922.48
  4. Step 4: Simplify right side
    32,642.76x = 681,789,971.49
  5. Step 5: Solve for x
    x = 681,789,971.49/32,642.76
  6. Step 6: Final answer
    x = 20,886.41

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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.