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Finding the Fourth Proportional to 32,188, 44,409.66 and 20,263.24

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Solution

The fourth proportional to 32,188, 44,409.66 and 20,263.24 is: 27,957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,188 : 44,409.66 = 20,263.24 : x
  2. Step 2: Convert to fraction form
    32,188/44,409.66 = 20,263.24/x
  3. Step 3: Cross multiply
    32,188x = 44,409.66 × 20,263.24
  4. Step 4: Simplify right side
    32,188x = 899,883,598.90
  5. Step 5: Solve for x
    x = 899,883,598.90/32,188
  6. Step 6: Final answer
    x = 27,957.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.